31311012113100 has 252 divisors, whose sum is σ = 102148407229344. Its totient is φ = 8326845152640.

The previous prime is 31311012112957. The next prime is 31311012113113. The reversal of 31311012113100 is 131121011313.

31311012113100 is a `hidden beast` number, since 3 + 131 + 10 + 1 + 211 + 310 + 0 = 666.

It is a super-2 number, since 2×31311012113100² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 26169142 + ... + 27339458.

Almost surely, 2^{31311012113100} is an apocalyptic number.

31311012113100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311012113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51074203614672).

31311012113100 is an abundant number, since it is smaller than the sum of its proper divisors (70837395116244).

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

31311012113100 is a wasteful number, since it uses less digits than its factorization.

31311012113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170716 (or 1170694 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 31311012113100 its reverse (131121011313), we get a palindrome (31442133124413).

The spelling of 31311012113100 in words is "thirty-one trillion, three hundred eleven billion, twelve million, one hundred thirteen thousand, one hundred".