313153443351120 has 160 divisors (see below), whose sum is σ = 1032291631642752. Its totient is φ = 78258054578176.

The previous prime is 313153443351107. The next prime is 313153443351121. The reversal of 313153443351120 is 21153344351313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313153443351121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163756002 + ... + 165657281.

Almost surely, 2^{313153443351120} is an apocalyptic number.

313153443351120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313153443351120 is an abundant number, since it is smaller than the sum of its proper divisors (719138188291632).

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

313153443351120 is a wasteful number, since it uses less digits than its factorization.

313153443351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329413549 (or 329413543 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 313153443351120 in words is "three hundred thirteen trillion, one hundred fifty-three billion, four hundred forty-three million, three hundred fifty-one thousand, one hundred twenty".