312123131100 has 432 divisors, whose sum is σ = 1131516911616. Its totient is φ = 71243712000.

The previous prime is 312123131059. The next prime is 312123131143. The reversal of 312123131100 is 1131321213.

312123131100 is a `hidden beast` number, since 3 + 121 + 231 + 311 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 11341557 + ... + 11369043.

Almost surely, 2^312123131100 is an apocalyptic number.

312123131100 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 312123131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565758455808).

312123131100 is an abundant number, since it is smaller than the sum of its proper divisors (819393780516).

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

312123131100 is a wasteful number, since it uses less digits than its factorization.

312123131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27586 (or 27576 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312123131100 its reverse (1131321213), we get a palindrome (313254452313).

The spelling of 312123131100 in words is "three hundred twelve billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred".