313131000000000 has 3200 divisors, whose sum is σ = 1360589860675584. Its totient is φ = 62208000000000.

The previous prime is 313130999999977. The next prime is 313131000000083. The reversal of 313131000000000 is 131313.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×313131000000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8462999999982 + ... + 8463000000018.

Almost surely, 2^{313131000000000} is an apocalyptic number.

313131000000000 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 313131000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680294930337792).

313131000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1047458860675584).

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

313131000000000 is an frugal number, since it uses more digits than its factorization.

313131000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 313131000000000 its reverse (131313), we get a palindrome (313131000131313).

The spelling of 313131000000000 in words is "three hundred thirteen trillion, one hundred thirty-one billion", and thus it is an aban number.