31112210312040 has 256 divisors, whose sum is σ = 111198653798400. Its totient is φ = 6864113894400.

The previous prime is 31112210312039. The next prime is 31112210312041. The reversal of 31112210312040 is 4021301221113.

It is an interprime number because it is at equal distance from previous prime (31112210312039) and next prime (31112210312041).

It is a super-2 number, since 2×31112210312040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31112210311998 and 31112210312016.

It is not an unprimeable number, because it can be changed into a prime (31112210312041) 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 63 ways as a sum of consecutive naturals, for example, 11549710 + ... + 13986429.

It is an arithmetic number, because the mean of its divisors is an integer number (434369741400).

Almost surely, 2^{31112210312040} is an apocalyptic number.

31112210312040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31112210312040 is an abundant number, since it is smaller than the sum of its proper divisors (80086443486360).

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

31112210312040 is a wasteful number, since it uses less digits than its factorization.

31112210312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25536248 (or 25536244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 31112210312040 its reverse (4021301221113), we get a palindrome (35133511533153).

The spelling of 31112210312040 in words is "thirty-one trillion, one hundred twelve billion, two hundred ten million, three hundred twelve thousand, forty".