312001431131401 has 16 divisors (see below), whose sum is σ = 343437764318208. Its totient is φ = 281087454819600.

The previous prime is 312001431131287. The next prime is 312001431131413. The reversal of 312001431131401 is 104131134100213.

It is not a de Polignac number, because 312001431131401 - 2²⁷ = 312001296913673 is a prime.

It is a super-2 number, since 2×312001431131401² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312001431131431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255952245 + ... + 257168338.

It is an arithmetic number, because the mean of its divisors is an integer number (21464860269888).

Almost surely, 2^{312001431131401} is an apocalyptic number.

It is an amenable number.

312001431131401 is a deficient number, since it is larger than the sum of its proper divisors (31436333186807).

312001431131401 is a wasteful number, since it uses less digits than its factorization.

312001431131401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513121092.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 312001431131401 its reverse (104131134100213), we get a palindrome (416132565231614).

The spelling of 312001431131401 in words is "three hundred twelve trillion, one billion, four hundred thirty-one million, one hundred thirty-one thousand, four hundred one".