313112012133232 has 160 divisors (see below), whose sum is σ = 693720038450880. Its totient is φ = 135625516646400.

The previous prime is 313112012133211. The next prime is 313112012133257. The reversal of 313112012133232 is 232331210211313.

It is a self number, because there is not a number n which added to its sum of digits gives 313112012133232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4187127619 + ... + 4187202397.

It is an arithmetic number, because the mean of its divisors is an integer number (4335750240318).

Almost surely, 2^{313112012133232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313112012133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346860019225440).

313112012133232 is an abundant number, since it is smaller than the sum of its proper divisors (380608026317648).

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

313112012133232 is a wasteful number, since it uses less digits than its factorization.

313112012133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78171 (or 78165 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 313112012133232 its reverse (232331210211313), we get a palindrome (545443222344545).

It can be divided in two parts, 31311201 and 2133232, that added together give a palindrome (33444433).

The spelling of 313112012133232 in words is "three hundred thirteen trillion, one hundred twelve billion, twelve million, one hundred thirty-three thousand, two hundred thirty-two".