31200200132031 has 112 divisors (see below), whose sum is σ = 53644251129600. Its totient is φ = 17767849768704.

The previous prime is 31200200131979. The next prime is 31200200132039. The reversal of 31200200132031 is 13023100200213.

31200200132031 is a `hidden beast` number, since 312 + 0 + 0 + 2 + 0 + 0 + 1 + 320 + 31 = 666.

It is not a de Polignac number, because 31200200132031 - 2¹³ = 31200200123839 is a prime.

It is a super-2 number, since 2×31200200132031² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31200200131995 and 31200200132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200200132039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2821754455 + ... + 2821765511.

Almost surely, 2^{31200200132031} is an apocalyptic number.

31200200132031 is a deficient number, since it is larger than the sum of its proper divisors (22444050997569).

31200200132031 is a wasteful number, since it uses less digits than its factorization.

31200200132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31200200132031 its reverse (13023100200213), we get a palindrome (44223300332244).

The spelling of 31200200132031 in words is "thirty-one trillion, two hundred billion, two hundred million, one hundred thirty-two thousand, thirty-one".