10000013000021 has 16 divisors (see below), whose sum is σ = 11141389340928. Its totient is φ = 8897356800000.

The previous prime is 10000012999987. The next prime is 10000013000057. The reversal of 10000013000021 is 12000031000001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000013000021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000012999972 and 10000013000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000013000221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46423061 + ... + 46637973.

It is an arithmetic number, because the mean of its divisors is an integer number (696336833808).

Almost surely, 2^{10000013000021} is an apocalyptic number.

10000013000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000013000021 is a deficient number, since it is larger than the sum of its proper divisors (1141376340907).

10000013000021 is a wasteful number, since it uses less digits than its factorization.

10000013000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304972.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10000013000021 its reverse (12000031000001), we get a palindrome (22000044000022).

The spelling of 10000013000021 in words is "ten trillion, thirteen million, twenty-one", and thus it is an aban number and an uban number.