1313312331000 has 64 divisors (see below), whose sum is σ = 4097534482080. Its totient is φ = 350216620800.

The previous prime is 1313312330999. The next prime is 1313312331007. The reversal of 1313312331000 is 1332133131.

It is a super-5 number, since 5×1313312331000⁵ (a number of 62 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313312331007) 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, 218882389 + ... + 218888388.

Almost surely, 2^{1313312331000} is an apocalyptic number.

1313312331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313312331000 is an abundant number, since it is smaller than the sum of its proper divisors (2784222151080).

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

1313312331000 is a wasteful number, since it uses less digits than its factorization.

1313312331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437770801 (or 437770787 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1313312331000 its reverse (1332133131), we get a palindrome (1314644464131).

The spelling of 1313312331000 in words is "one trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty-one thousand".