31312310101200 has 90 divisors (see below), whose sum is σ = 108662413927574. Its totient is φ = 8349949359360.

The previous prime is 31312310101157. The next prime is 31312310101201. The reversal of 31312310101200 is 210101321313.

31312310101200 is a `hidden beast` number, since 3 + 131 + 231 + 0 + 101 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 411963720336 + 30900346380864 = 641844^2 + 5558808^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312310101201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4348928359 + ... + 4348935558.

Almost surely, 2^{31312310101200} is an apocalyptic number.

31312310101200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31312310101200 is an abundant number, since it is smaller than the sum of its proper divisors (77350103826374).

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

31312310101200 is a wasteful number, since it uses less digits than its factorization.

31312310101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8697863941 (or 8697863927 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31312310101200 its reverse (210101321313), we get a palindrome (31522411422513).

The spelling of 31312310101200 in words is "thirty-one trillion, three hundred twelve billion, three hundred ten million, one hundred one thousand, two hundred".