312302013100 has 144 divisors (see below), whose sum is σ = 845184404736. Its totient is φ = 97310304000.

The previous prime is 312302013073. The next prime is 312302013109. The reversal of 312302013100 is 1310203213.

It is a super-2 number, since 2×312302013100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312302013109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47451810 + ... + 47458390.

It is an arithmetic number, because the mean of its divisors is an integer number (5869336144).

Almost surely, 2^312302013100 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 312302013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422592202368).

312302013100 is an abundant number, since it is smaller than the sum of its proper divisors (532882391636).

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

312302013100 is a wasteful number, since it uses less digits than its factorization.

312302013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12776 (or 12769 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 312302013100 its reverse (1310203213), we get a palindrome (313612216313).

The spelling of 312302013100 in words is "three hundred twelve billion, three hundred two million, thirteen thousand, one hundred".