313250112 has 448 divisors, whose sum is σ = 1170432000. Its totient is φ = 80123904.

The previous prime is 313250111. The next prime is 313250149. The reversal of 313250112 is 211052313.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313250111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6664873 + ... + 6664919.

Almost surely, 2^313250112 is an apocalyptic number.

313250112 is a gapful number since it is divisible by the number (32) 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 313250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216000).

313250112 is an abundant number, since it is smaller than the sum of its proper divisors (857181888).

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

313250112 is a wasteful number, since it uses less digits than its factorization.

313250112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 313250112 is about 17698.8731844714. The cubic root of 313250112 is about 679.1469348845.

It can be divided in two parts, 3132 and 50112, that multiplied together give a square (156950784 = 12528²).

The spelling of 313250112 in words is "three hundred thirteen million, two hundred fifty thousand, one hundred twelve".