31313414400111 has 32 divisors (see below), whose sum is σ = 46460629944000. Its totient is φ = 20843950247424.

The previous prime is 31313414400083. The next prime is 31313414400139. The reversal of 31313414400111 is 11100441431313.

31313414400111 is a `hidden beast` number, since 3 + 1 + 3 + 134 + 14 + 400 + 111 = 666.

It is an interprime number because it is at equal distance from previous prime (31313414400083) and next prime (31313414400139).

It is not a de Polignac number, because 31313414400111 - 2²² = 31313410205807 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313414400911) 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, 78282405 + ... + 78681393.

It is an arithmetic number, because the mean of its divisors is an integer number (1451894685750).

Almost surely, 2^{31313414400111} is an apocalyptic number.

31313414400111 is a deficient number, since it is larger than the sum of its proper divisors (15147215543889).

31313414400111 is a wasteful number, since it uses less digits than its factorization.

31313414400111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403400 (or 403394 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 31313414400111 its reverse (11100441431313), we get a palindrome (42413855831424).

The spelling of 31313414400111 in words is "thirty-one trillion, three hundred thirteen billion, four hundred fourteen million, four hundred thousand, one hundred eleven".