10233032013000 has 96 divisors (see below), whose sum is σ = 34587648234360. Its totient is φ = 2728808534400.

The previous prime is 10233032012999. The next prime is 10233032013031. The reversal of 10233032013000 is 31023033201.

10233032013000 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 32 + 0 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2727590977764 + 7505441035236 = 1651542^2 + 2739606^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568492779 + ... + 568510778.

Almost surely, 2^{10233032013000} is an apocalyptic number.

10233032013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10233032013000 is an abundant number, since it is smaller than the sum of its proper divisors (24354616221360).

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

10233032013000 is a wasteful number, since it uses less digits than its factorization.

10233032013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137003584 (or 1137003567 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10233032013000 its reverse (31023033201), we get a palindrome (10264055046201).

It can be divided in two parts, 1023303 and 2013000, that added together give a palindrome (3036303).

The spelling of 10233032013000 in words is "ten trillion, two hundred thirty-three billion, thirty-two million, thirteen thousand".