1013257630000 has 1200 divisors, whose sum is σ = 3383075469312. Its totient is φ = 286387200000.

The previous prime is 1013257629997. The next prime is 1013257630043. The reversal of 1013257630000 is 367523101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4463689887 + ... + 4463690113.

Almost surely, 2^{1013257630000} is an apocalyptic number.

1013257630000 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 1013257630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691537734656).

1013257630000 is an abundant number, since it is smaller than the sum of its proper divisors (2369817839312).

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

1013257630000 is a wasteful number, since it uses less digits than its factorization.

1013257630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 1013257630000 in words is "one trillion, thirteen billion, two hundred fifty-seven million, six hundred thirty thousand".