31000131311100 has 144 divisors (see below), whose sum is σ = 102509758622208. Its totient is φ = 7085560584960.

The previous prime is 31000131311087. The next prime is 31000131311111. The reversal of 31000131311100 is 111313100013.

It is a super-2 number, since 2×31000131311100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31000131311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91216089 + ... + 91555311.

Almost surely, 2^{31000131311100} is an apocalyptic number.

31000131311100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31000131311100 is an abundant number, since it is smaller than the sum of its proper divisors (71509627311108).

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

31000131311100 is a wasteful number, since it uses less digits than its factorization.

31000131311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382764 (or 382757 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 31000131311100 its reverse (111313100013), we get a palindrome (31111444411113).

The spelling of 31000131311100 in words is "thirty-one trillion, one hundred thirty-one million, three hundred eleven thousand, one hundred".