31310132100000 has 576 divisors, whose sum is σ = 111313072257408. Its totient is φ = 7659671040000.

The previous prime is 31310132099993. The next prime is 31310132100059. The reversal of 31310132100000 is 123101313.

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

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, 635675374 + ... + 635724626.

It is an arithmetic number, because the mean of its divisors is an integer number (193251861558).

Almost surely, 2^{31310132100000} is an apocalyptic number.

31310132100000 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 31310132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55656536128704).

31310132100000 is an abundant number, since it is smaller than the sum of its proper divisors (80002940157408).

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

31310132100000 is a wasteful number, since it uses less digits than its factorization.

31310132100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49467 (or 49439 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31310132100000 its reverse (123101313), we get a palindrome (31310255201313).

The spelling of 31310132100000 in words is "thirty-one trillion, three hundred ten billion, one hundred thirty-two million, one hundred thousand".