31213401013116 has 144 divisors (see below), whose sum is σ = 90358537161984. Its totient is φ = 8899675918848.

The previous prime is 31213401013099. The next prime is 31213401013117. The reversal of 31213401013116 is 61131010431213.

31213401013116 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 340 + 1 + 0 + 1 + 311 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31213401013116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213401013117) 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, 1090333995 + ... + 1090362621.

Almost surely, 2^{31213401013116} is an apocalyptic number.

31213401013116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31213401013116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45179268580992).

31213401013116 is an abundant number, since it is smaller than the sum of its proper divisors (59145136148868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31213401013116 is a wasteful number, since it uses less digits than its factorization.

31213401013116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37440 (or 37435 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 31213401013116 its reverse (61131010431213), we get a palindrome (92344411444329).

The spelling of 31213401013116 in words is "thirty-one trillion, two hundred thirteen billion, four hundred one million, thirteen thousand, one hundred sixteen".