31312202130000 has 600 divisors, whose sum is σ = 123449487268800. Its totient is φ = 7590828960000.

The previous prime is 31312202129947. The next prime is 31312202130017. The reversal of 31312202130000 is 3120221313.

31312202130000 is a `hidden beast` number, since 31 + 312 + 2 + 0 + 21 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32190781 + ... + 33149219.

It is an arithmetic number, because the mean of its divisors is an integer number (205749145448).

Almost surely, 2^{31312202130000} is an apocalyptic number.

31312202130000 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 31312202130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61724743634400).

31312202130000 is an abundant number, since it is smaller than the sum of its proper divisors (92137285138800).

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

31312202130000 is a wasteful number, since it uses less digits than its factorization.

31312202130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958498 (or 958460 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31312202130000 its reverse (3120221313), we get a palindrome (31315322351313).

The spelling of 31312202130000 in words is "thirty-one trillion, three hundred twelve billion, two hundred two million, one hundred thirty thousand".