21003013012000 has 96 divisors (see below), whose sum is σ = 53383865436720. Its totient is φ = 8111508428800.

The previous prime is 21003013011997. The next prime is 21003013012133. The reversal of 21003013012000 is 21031030012.

It can be written as a sum of positive squares in 8 ways, for example, as 5374811636496 + 15628201375504 = 2318364^2 + 3953252^2 .

It is a super-2 number, since 2×21003013012000² (a number of 27 digits) contains 22 as substring.

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, 90414229 + ... + 90646228.

Almost surely, 2^{21003013012000} is an apocalyptic number.

21003013012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21003013012000 is an abundant number, since it is smaller than the sum of its proper divisors (32380852424720).

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

21003013012000 is a wasteful number, since it uses less digits than its factorization.

21003013012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181060511 (or 181060493 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21003013012000 its reverse (21031030012), we get a palindrome (21024044042012).

The spelling of 21003013012000 in words is "twenty-one trillion, three billion, thirteen million, twelve thousand".