31313113122000 has 80 divisors (see below), whose sum is σ = 100953476724672. Its totient is φ = 8350163497600.

The previous prime is 31313113121987. The next prime is 31313113122007. The reversal of 31313113122000 is 22131131313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×31313113122000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313113122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2609420094 + ... + 2609432093.

Almost surely, 2^{31313113122000} is an apocalyptic number.

31313113122000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31313113122000 is an abundant number, since it is smaller than the sum of its proper divisors (69640363602672).

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

31313113122000 is a wasteful number, since it uses less digits than its factorization.

31313113122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218852213 (or 5218852197 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 31313113122000 its reverse (22131131313), we get a palindrome (31335244253313).

The spelling of 31313113122000 in words is "thirty-one trillion, three hundred thirteen billion, one hundred thirteen million, one hundred twenty-two thousand".