31331032013100 has 288 divisors, whose sum is σ = 97946581017600. Its totient is φ = 7708323052800.

The previous prime is 31331032013089. The next prime is 31331032013131. The reversal of 31331032013100 is 131023013313.

It is a super-2 number, since 2×31331032013100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35548755 + ... + 36419445.

It is an arithmetic number, because the mean of its divisors is an integer number (340092295200).

Almost surely, 2^{31331032013100} is an apocalyptic number.

31331032013100 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 31331032013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48973290508800).

31331032013100 is an abundant number, since it is smaller than the sum of its proper divisors (66615549004500).

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

31331032013100 is a wasteful number, since it uses less digits than its factorization.

31331032013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870893 (or 870886 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31331032013100 its reverse (131023013313), we get a palindrome (31462055026413).

The spelling of 31331032013100 in words is "thirty-one trillion, three hundred thirty-one billion, thirty-two million, thirteen thousand, one hundred".