31312010130000 has 100 divisors (see below), whose sum is σ = 101079343731168. Its totient is φ = 8349869360000.

The previous prime is 31312010129927. The next prime is 31312010130001. The reversal of 31312010130000 is 3101021313.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31312010130001) 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 19 ways as a sum of consecutive naturals, for example, 521836836 + ... + 521896835.

Almost surely, 2^{31312010130000} is an apocalyptic number.

31312010130000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31312010130000 is an abundant number, since it is smaller than the sum of its proper divisors (69767333601168).

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

31312010130000 is a wasteful number, since it uses less digits than its factorization.

31312010130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043733702 (or 1043733681 counting only the distinct ones).

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

Adding to 31312010130000 its reverse (3101021313), we get a palindrome (31315111151313).

The spelling of 31312010130000 in words is "thirty-one trillion, three hundred twelve billion, ten million, one hundred thirty thousand".