31332113210013 has 48 divisors (see below), whose sum is σ = 54842723991360. Its totient is φ = 15715166476800.

The previous prime is 31332113210009. The next prime is 31332113210063. The reversal of 31332113210013 is 31001231123313.

It is not a de Polignac number, because 31332113210013 - 2² = 31332113210009 is a prime.

It is a super-2 number, since 2×31332113210013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31332113210063) 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, 334034028 + ... + 334127813.

It is an arithmetic number, because the mean of its divisors is an integer number (1142556749820).

Almost surely, 2^{31332113210013} is an apocalyptic number.

31332113210013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31332113210013 is a deficient number, since it is larger than the sum of its proper divisors (23510610781347).

31332113210013 is a wasteful number, since it uses less digits than its factorization.

31332113210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668161898 (or 668161891 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 31332113210013 its reverse (31001231123313), we get a palindrome (62333344333326).

The spelling of 31332113210013 in words is "thirty-one trillion, three hundred thirty-two billion, one hundred thirteen million, two hundred ten thousand, thirteen".