31300200200313 has 24 divisors (see below), whose sum is σ = 49323414965760. Its totient is φ = 18969092388960.

The previous prime is 31300200200287. The next prime is 31300200200413.

31300200200313 is a `hidden beast` number, since 3 + 130 + 0 + 20 + 0 + 200 + 313 = 666.

31300200200313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31300200200313 - 2⁵ = 31300200200281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31300200200413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3443481 + ... + 8628902.

It is an arithmetic number, because the mean of its divisors is an integer number (2055142290240).

Almost surely, 2^{31300200200313} is an apocalyptic number.

31300200200313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31300200200313 is a deficient number, since it is larger than the sum of its proper divisors (18023214765447).

31300200200313 is a wasteful number, since it uses less digits than its factorization.

31300200200313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12098589 (or 12098586 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 31300200 and 200313, that added together give a palindrome (31500513).

The spelling of 31300200200313 in words is "thirty-one trillion, three hundred billion, two hundred million, two hundred thousand, three hundred thirteen".