313131213000000 has 294 divisors, whose sum is σ = 1121903277305798. Its totient is φ = 83501654400000.

The previous prime is 313131212999993. The next prime is 313131213000107. The reversal of 313131213000000 is 312131313.

It is a happy number.

313131213000000 is a `hidden beast` number, since 31 + 313 + 1 + 21 + 300 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 310575486415104 + 2555726584896 = 17623152^2 + 1598664^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8396179 + ... + 26396178.

Almost surely, 2^{313131213000000} is an apocalyptic number.

313131213000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313131213000000 is an abundant number, since it is smaller than the sum of its proper divisors (808772064305798).

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

313131213000000 is an frugal number, since it uses more digits than its factorization.

313131213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34792405 (or 34792367 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 313131213000000 its reverse (312131313), we get a palindrome (313131525131313).

The spelling of 313131213000000 in words is "three hundred thirteen trillion, one hundred thirty-one billion, two hundred thirteen million", and thus it is an aban number.