312133111404401 has 6 divisors (see below), whose sum is σ = 363093619388850. Its totient is φ = 267542666918016.

The previous prime is 312133111404379. The next prime is 312133111404431. The reversal of 312133111404401 is 104404111331213.

It can be written as a sum of positive squares in only one way, i.e., 311974468514401 + 158642890000 = 17662799^2 + 398300^2 .

It is not a de Polignac number, because 312133111404401 - 2³⁴ = 312115931535217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312133111404431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3185031748976 + ... + 3185031749073.

It is an arithmetic number, because the mean of its divisors is an integer number (60515603231475).

Almost surely, 2^{312133111404401} is an apocalyptic number.

It is an amenable number.

312133111404401 is a deficient number, since it is larger than the sum of its proper divisors (50960507984449).

312133111404401 is an equidigital number, since it uses as much as digits as its factorization.

312133111404401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370063498063 (or 6370063498056 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 312133111404401 its reverse (104404111331213), we get a palindrome (416537222735614).

The spelling of 312133111404401 in words is "three hundred twelve trillion, one hundred thirty-three billion, one hundred eleven million, four hundred four thousand, four hundred one".