31220011002213 has 72 divisors (see below), whose sum is σ = 50058342236448. Its totient is φ = 18734182632000.

The previous prime is 31220011002179. The next prime is 31220011002223.

31220011002213 is a `hidden beast` number, since 312 + 20 + 0 + 110 + 0 + 221 + 3 = 666.

31220011002213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31220011002213 - 2¹⁴ = 31220010985829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220011002223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 216777318 + ... + 216921288.

It is an arithmetic number, because the mean of its divisors is an integer number (695254753284).

Almost surely, 2^{31220011002213} is an apocalyptic number.

31220011002213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31220011002213 is a deficient number, since it is larger than the sum of its proper divisors (18838331234235).

31220011002213 is a wasteful number, since it uses less digits than its factorization.

31220011002213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145967 (or 145953 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, 3122001 and 1002213, that added together give a palindrome (4124214).

The spelling of 31220011002213 in words is "thirty-one trillion, two hundred twenty billion, eleven million, two thousand, two hundred thirteen".