312130102100 has 72 divisors (see below), whose sum is σ = 682779867000. Its totient is φ = 123848294400.

The previous prime is 312130102099. The next prime is 312130102103. The reversal of 312130102100 is 1201031213.

It can be written as a sum of positive squares in 12 ways, for example, as 56383452304 + 255746649796 = 237452^2 + 505714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312130102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11444480 + ... + 11471720.

Almost surely, 2^312130102100 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 312130102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341389933500).

312130102100 is an abundant number, since it is smaller than the sum of its proper divisors (370649764900).

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

312130102100 is a wasteful number, since it uses less digits than its factorization.

312130102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28173 (or 28166 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 312130102100 its reverse (1201031213), we get a palindrome (313331133313).

The spelling of 312130102100 in words is "three hundred twelve billion, one hundred thirty million, one hundred two thousand, one hundred".