31313000013300 has 54 divisors (see below), whose sum is σ = 98148858933398. Its totient is φ = 8350133336640.

The previous prime is 31313000013289. The next prime is 31313000013359. The reversal of 31313000013300 is 331000031313.

31313000013300 is a `hidden beast` number, since 3 + 1 + 31 + 300 + 0 + 0 + 1 + 330 + 0 = 666.

31313000013300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3660778115856 + 27652221897444 = 1913316^2 + 5258538^2 .

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 17 ways as a sum of consecutive naturals, for example, 17396110219 + ... + 17396112018.

Almost surely, 2^{31313000013300} is an apocalyptic number.

31313000013300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31313000013300 is an abundant number, since it is smaller than the sum of its proper divisors (66835858920098).

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

31313000013300 is a wasteful number, since it uses less digits than its factorization.

31313000013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34792222257 (or 34792222247 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 31313000013300 its reverse (331000031313), we get a palindrome (31644000044613).

The spelling of 31313000013300 in words is "thirty-one trillion, three hundred thirteen billion, thirteen thousand, three hundred".