313113133440 has 320 divisors, whose sum is σ = 1148411745360. Its totient is φ = 81239666688.

The previous prime is 313113133427. The next prime is 313113133451. The reversal of 313113133440 is 44331311313.

313113133440 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 313 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1836459 + ... + 1999701.

Almost surely, 2^313113133440 is an apocalyptic number.

313113133440 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 313113133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574205872680).

313113133440 is an abundant number, since it is smaller than the sum of its proper divisors (835298611920).

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

313113133440 is a wasteful number, since it uses less digits than its factorization.

313113133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163311 (or 163290 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 313113133440 its reverse (44331311313), we get a palindrome (357444444753).

The spelling of 313113133440 in words is "three hundred thirteen billion, one hundred thirteen million, one hundred thirty-three thousand, four hundred forty".