21213001031013 has 48 divisors (see below), whose sum is σ = 33493093358400. Its totient is φ = 12830776358400.

The previous prime is 21213001030981. The next prime is 21213001031059. The reversal of 21213001031013 is 31013010031212.

21213001031013 is a `hidden beast` number, since 21 + 21 + 300 + 1 + 0 + 310 + 13 = 666.

It is not a de Polignac number, because 21213001031013 - 2⁵ = 21213001030981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213001031413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441462813 + ... + 441510861.

It is an arithmetic number, because the mean of its divisors is an integer number (697772778300).

Almost surely, 2^{21213001031013} is an apocalyptic number.

It is an amenable number.

21213001031013 is a deficient number, since it is larger than the sum of its proper divisors (12280092327387).

21213001031013 is a wasteful number, since it uses less digits than its factorization.

21213001031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56850 (or 56847 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21213001031013 its reverse (31013010031212), we get a palindrome (52226011062225).

The spelling of 21213001031013 in words is "twenty-one trillion, two hundred thirteen billion, one million, thirty-one thousand, thirteen".