1013100000 has 288 divisors, whose sum is σ = 3638017152. Its totient is φ = 244800000.

The previous prime is 1013099987. The next prime is 1013100013. The reversal of 1013100000 is 13101.

1013100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1013099987) and next prime (1013100013).

It is a super-2 number, since 2×1013100000² = 2052743220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3299847 + ... + 3300153.

It is an arithmetic number, because the mean of its divisors is an integer number (12632004).

Almost surely, 2^1013100000 is an apocalyptic number.

1013100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819008576).

1013100000 is an abundant number, since it is smaller than the sum of its proper divisors (2624917152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013100000 is an equidigital number, since it uses as much as digits as its factorization.

1013100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1013100000 is about 31829.2318474700. The cubic root of 1013100000 is about 1004.3477364595.

Adding to 1013100000 its reverse (13101), we get a palindrome (1013113101).

The spelling of 1013100000 in words is "one billion, thirteen million, one hundred thousand".