313232420000 has 120 divisors (see below), whose sum is σ = 772449902532. Its totient is φ = 124992000000.

The previous prime is 313232419993. The next prime is 313232420021. The reversal of 313232420000 is 24232313.

It can be written as a sum of positive squares in 10 ways, for example, as 198520149136 + 114712270864 = 445556^2 + 338692^2 .

It is a super-2 number, since 2×313232420000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8401400 + ... + 8438600.

Almost surely, 2^313232420000 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 313232420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386224951266).

313232420000 is an abundant number, since it is smaller than the sum of its proper divisors (459217482532).

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

313232420000 is an equidigital number, since it uses as much as digits as its factorization.

313232420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37652 (or 37629 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 313232420000 its reverse (24232313), we get a palindrome (313256652313).

The spelling of 313232420000 in words is "three hundred thirteen billion, two hundred thirty-two million, four hundred twenty thousand".