313112332133040 has 240 divisors, whose sum is σ = 1068161723211744. Its totient is φ = 75817026785280.

The previous prime is 313112332132979. The next prime is 313112332133093. The reversal of 313112332133040 is 40331233211313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 313112332132989 and 313112332133007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18451012 + ... + 31091228.

Almost surely, 2^{313112332133040} is an apocalyptic number.

313112332133040 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 313112332133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534080861605872).

313112332133040 is an abundant number, since it is smaller than the sum of its proper divisors (755049391078704).

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

313112332133040 is a wasteful number, since it uses less digits than its factorization.

313112332133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12641108 (or 12641091 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 313112332133040 its reverse (40331233211313), we get a palindrome (353443565344353).

The spelling of 313112332133040 in words is "three hundred thirteen trillion, one hundred twelve billion, three hundred thirty-two million, one hundred thirty-three thousand, forty".