312013033123300 has 144 divisors (see below), whose sum is σ = 710588901899520. Its totient is φ = 118752790464000.

The previous prime is 312013033123279. The next prime is 312013033123307. The reversal of 312013033123300 is 3321330310213.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (312013033123307) 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, 475507042 + ... + 476162758.

It is an arithmetic number, because the mean of its divisors is an integer number (4934645152080).

Almost surely, 2^{312013033123300} 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 312013033123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355294450949760).

312013033123300 is an abundant number, since it is smaller than the sum of its proper divisors (398575868776220).

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

312013033123300 is a wasteful number, since it uses less digits than its factorization.

312013033123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658142 (or 658135 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 312013033123300 its reverse (3321330310213), we get a palindrome (315334363433513).

The spelling of 312013033123300 in words is "three hundred twelve trillion, thirteen billion, thirty-three million, one hundred twenty-three thousand, three hundred".