213330004010013 has 32 divisors (see below), whose sum is σ = 314707513420800. Its totient is φ = 127454143017600.

The previous prime is 213330004010003. The next prime is 213330004010021. The reversal of 213330004010013 is 310010400033312.

It is a de Polignac number, because none of the positive numbers 2^k-213330004010013 is a prime.

It is a super-2 number, since 2×213330004010013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213330004010003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13324518 + ... + 24580536.

It is an arithmetic number, because the mean of its divisors is an integer number (9834609794400).

Almost surely, 2^{213330004010013} is an apocalyptic number.

It is an amenable number.

213330004010013 is a deficient number, since it is larger than the sum of its proper divisors (101377509410787).

213330004010013 is a wasteful number, since it uses less digits than its factorization.

213330004010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264193.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213330004010013 its reverse (310010400033312), we get a palindrome (523340404043325).

The spelling of 213330004010013 in words is "two hundred thirteen trillion, three hundred thirty billion, four million, ten thousand, thirteen".