313112201331000 has 128 divisors (see below), whose sum is σ = 976921178875200. Its totient is φ = 83495637388800.

The previous prime is 313112201330963. The next prime is 313112201331019. The reversal of 313112201331000 is 133102211313.

It is a happy number.

It is a super-2 number, since 2×313112201331000² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 286341294 + ... + 287432706.

Almost surely, 2^{313112201331000} is an apocalyptic number.

313112201331000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313112201331000 is an abundant number, since it is smaller than the sum of its proper divisors (663808977544200).

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

313112201331000 is a wasteful number, since it uses less digits than its factorization.

313112201331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187066 (or 1187052 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313112201331000 its reverse (133102211313), we get a palindrome (313245303542313).

The spelling of 313112201331000 in words is "three hundred thirteen trillion, one hundred twelve billion, two hundred one million, three hundred thirty-one thousand".