313201513080 has 256 divisors, whose sum is σ = 1056012854400. Its totient is φ = 82562457600.

The previous prime is 313201513063. The next prime is 313201513103. The reversal of 313201513080 is 80315102313.

313201513080 is a `hidden beast` number, since 31 + 320 + 1 + 5 + 1 + 308 + 0 = 666.

It is a super-2 number, since 2×313201513080² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 82571664 + ... + 82575456.

Almost surely, 2^313201513080 is an apocalyptic number.

313201513080 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 313201513080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528006427200).

313201513080 is an abundant number, since it is smaller than the sum of its proper divisors (742811341320).

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

313201513080 is a wasteful number, since it uses less digits than its factorization.

313201513080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 313201513080 its reverse (80315102313), we get a palindrome (393516615393).

It can be divided in two parts, 313201 and 513080, that added together give a square (826281 = 909²).

The spelling of 313201513080 in words is "three hundred thirteen billion, two hundred one million, five hundred thirteen thousand, eighty".