31012200221013 has 48 divisors (see below), whose sum is σ = 49151276928000. Its totient is φ = 18686438871840.

The previous prime is 31012200220987. The next prime is 31012200221021.

31012200221013 is a `hidden beast` number, since 310 + 122 + 0 + 0 + 221 + 0 + 13 = 666.

31012200221013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31012200221013 - 2⁶ = 31012200220949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012200221413) 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, 15198438 + ... + 17117736.

It is an arithmetic number, because the mean of its divisors is an integer number (1023984936000).

Almost surely, 2^{31012200221013} is an apocalyptic number.

31012200221013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31012200221013 is a deficient number, since it is larger than the sum of its proper divisors (18139076706987).

31012200221013 is a wasteful number, since it uses less digits than its factorization.

31012200221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920262 (or 1920259 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 31012200 and 221013, that added together give a palindrome (31233213).

The spelling of 31012200221013 in words is "thirty-one trillion, twelve billion, two hundred million, two hundred twenty-one thousand, thirteen".