312101113402320 has 480 divisors, whose sum is σ = 1087671799799424. Its totient is φ = 73400872550400.

The previous prime is 312101113402307. The next prime is 312101113402321. The reversal of 312101113402320 is 23204311101213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312101113402321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 858000322 + ... + 858363998.

Almost surely, 2^{312101113402320} is an apocalyptic number.

312101113402320 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 312101113402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543835899899712).

312101113402320 is an abundant number, since it is smaller than the sum of its proper divisors (775570686397104).

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

312101113402320 is a wasteful number, since it uses less digits than its factorization.

312101113402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363911 (or 363832 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312101113402320 its reverse (23204311101213), we get a palindrome (335305424503533).

The spelling of 312101113402320 in words is "three hundred twelve trillion, one hundred one billion, one hundred thirteen million, four hundred two thousand, three hundred twenty".