1013000400 has 180 divisors, whose sum is σ = 3590788032. Its totient is φ = 264341760.

The previous prime is 1013000383. The next prime is 1013000449. The reversal of 1013000400 is 40003101.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166207 + ... + 172193.

Almost surely, 2^1013000400 is an apocalyptic number.

1013000400 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 1013000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795394016).

1013000400 is an abundant number, since it is smaller than the sum of its proper divisors (2577787632).

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

1013000400 is a wasteful number, since it uses less digits than its factorization.

1013000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1013000400 is about 31827.6672095207. The cubic root of 1013000400 is about 1004.3148221987.

Adding to 1013000400 its reverse (40003101), we get a palindrome (1053003501).

The spelling of 1013000400 in words is "one billion, thirteen million, four hundred", and thus it is an aban number.