313020032 has 64 divisors (see below), whose sum is σ = 674829960. Its totient is φ = 143769600.

The previous prime is 313020023. The next prime is 313020049. The reversal of 313020032 is 230020313.

It can be written as a sum of positive squares in 4 ways, for example, as 166513216 + 146506816 = 12904^2 + 12104^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 313019989 and 313020016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520532 + ... + 521132.

Almost surely, 2^313020032 is an apocalyptic number.

313020032 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 313020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337414980).

313020032 is an abundant number, since it is smaller than the sum of its proper divisors (361809928).

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

313020032 is a wasteful number, since it uses less digits than its factorization.

313020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 313020032 is about 17692.3721416886. The cubic root of 313020032 is about 678.9806179456.

Adding to 313020032 its reverse (230020313), we get a palindrome (543040345).

The spelling of 313020032 in words is "three hundred thirteen million, twenty thousand, thirty-two".