313040104431000 has 256 divisors, whose sum is σ = 1003119929136000. Its totient is φ = 81218146867200.

The previous prime is 313040104430951. The next prime is 313040104431011. The reversal of 313040104431000 is 134401040313.

It is a super-2 number, since 2×313040104431000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5424430146 + ... + 5424487854.

Almost surely, 2^{313040104431000} is an apocalyptic number.

313040104431000 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 313040104431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501559964568000).

313040104431000 is an abundant number, since it is smaller than the sum of its proper divisors (690079824705000).

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

313040104431000 is a wasteful number, since it uses less digits than its factorization.

313040104431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106639 (or 106625 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313040104431000 its reverse (134401040313), we get a palindrome (313174505471313).

The spelling of 313040104431000 in words is "three hundred thirteen trillion, forty billion, one hundred four million, four hundred thirty-one thousand".