1011413130 has 512 divisors, whose sum is σ = 3530096640. Its totient is φ = 179159040.

The previous prime is 1011413119. The next prime is 1011413197. The reversal of 1011413130 is 313141101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27335472 + ... + 27335508.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^1011413130 is an apocalyptic number.

1011413130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011413130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

1011413130 is an abundant number, since it is smaller than the sum of its proper divisors (2518683510).

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

1011413130 is a wasteful number, since it uses less digits than its factorization.

1011413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1011413130 is about 31802.7220533086. The cubic root of 1011413130 is about 1003.7899944621.

Adding to 1011413130 its reverse (313141101), we get a palindrome (1324554231).

The spelling of 1011413130 in words is "one billion, eleven million, four hundred thirteen thousand, one hundred thirty".