312142133000001 has 32 divisors (see below), whose sum is σ = 428852069016448. Its totient is φ = 201858255843840.

The previous prime is 312142132999951. The next prime is 312142133000063. The reversal of 312142133000001 is 100000331241213.

It is not a de Polignac number, because 312142133000001 - 2⁶ = 312142132999937 is a prime.

It is a super-2 number, since 2×312142133000001² (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 (312142133000101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126314655 + ... + 128762091.

It is an arithmetic number, because the mean of its divisors is an integer number (13401627156764).

Almost surely, 2^{312142133000001} is an apocalyptic number.

It is an amenable number.

312142133000001 is a deficient number, since it is larger than the sum of its proper divisors (116709936016447).

312142133000001 is a wasteful number, since it uses less digits than its factorization.

312142133000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457121.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312142133000001 its reverse (100000331241213), we get a palindrome (412142464241214).

The spelling of 312142133000001 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred thirty-three million, one", and thus it is an aban number.