1013123310000 has 100 divisors (see below), whose sum is σ = 3270497224632. Its totient is φ = 270166208000.

The previous prime is 1013123309999. The next prime is 1013123310019. The reversal of 1013123310000 is 133213101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1013123310000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16855389 + ... + 16915388.

Almost surely, 2^{1013123310000} is an apocalyptic number.

1013123310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013123310000 is an abundant number, since it is smaller than the sum of its proper divisors (2257373914632).

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

1013123310000 is an equidigital number, since it uses as much as digits as its factorization.

1013123310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33770808 (or 33770787 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1013123310000 its reverse (133213101), we get a palindrome (1013256523101).

The spelling of 1013123310000 in words is "one trillion, thirteen billion, one hundred twenty-three million, three hundred ten thousand".