10233013012000 has 96 divisors (see below), whose sum is σ = 25261673883264. Its totient is φ = 4073805792000.

The previous prime is 10233013011919. The next prime is 10233013012049. The reversal of 10233013012000 is 21031033201.

It is a super-2 number, since 2×10233013012000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5218212 + ... + 6906211.

It is an arithmetic number, because the mean of its divisors is an integer number (263142436284).

Almost surely, 2^{10233013012000} is an apocalyptic number.

10233013012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233013012000 is an abundant number, since it is smaller than the sum of its proper divisors (15028660871264).

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

10233013012000 is a wasteful number, since it uses less digits than its factorization.

10233013012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124659 (or 12124641 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10233013012000 its reverse (21031033201), we get a palindrome (10254044045201).

The spelling of 10233013012000 in words is "ten trillion, two hundred thirty-three billion, thirteen million, twelve thousand".