313020210132 has 192 divisors, whose sum is σ = 941028802560. Its totient is φ = 88128891648.

The previous prime is 313020210109. The next prime is 313020210199. The reversal of 313020210132 is 231012020313.

313020210132 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

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, 87360813 + ... + 87364395.

It is an arithmetic number, because the mean of its divisors is an integer number (4901191680).

Almost surely, 2^313020210132 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 313020210132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470514401280).

313020210132 is an abundant number, since it is smaller than the sum of its proper divisors (628008592428).

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

313020210132 is a wasteful number, since it uses less digits than its factorization.

313020210132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313020210132 its reverse (231012020313), we get a palindrome (544032230445).

The spelling of 313020210132 in words is "three hundred thirteen billion, twenty million, two hundred ten thousand, one hundred thirty-two".