313222101000 has 128 divisors (see below), whose sum is σ = 985902278400. Its totient is φ = 82786636800.

The previous prime is 313222100951. The next prime is 313222101019. The reversal of 313222101000 is 101222313.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 122980 + ... + 800979.

It is an arithmetic number, because the mean of its divisors is an integer number (7702361550).

Almost surely, 2^313222101000 is an apocalyptic number.

313222101000 is a gapful number since it is divisible by the number (30) 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 313222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492951139200).

313222101000 is an abundant number, since it is smaller than the sum of its proper divisors (672680177400).

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

313222101000 is a wasteful number, since it uses less digits than its factorization.

313222101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924096 (or 924082 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 313222101000 its reverse (101222313), we get a palindrome (313323323313).

The spelling of 313222101000 in words is "three hundred thirteen billion, two hundred twenty-two million, one hundred one thousand".