312232133100101 has 16 divisors (see below), whose sum is σ = 326187189457920. Its totient is φ = 298308876687360.

The previous prime is 312232133100091. The next prime is 312232133100169. The reversal of 312232133100101 is 101001331232213.

It is not a de Polignac number, because 312232133100101 - 2¹⁸ = 312232132837957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312232133100301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87324731 + ... + 90829911.

It is an arithmetic number, because the mean of its divisors is an integer number (20386699341120).

Almost surely, 2^{312232133100101} is an apocalyptic number.

It is an amenable number.

312232133100101 is a deficient number, since it is larger than the sum of its proper divisors (13955056357819).

312232133100101 is a wasteful number, since it uses less digits than its factorization.

312232133100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509716.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 312232133100101 its reverse (101001331232213), we get a palindrome (413233464332314).

The spelling of 312232133100101 in words is "three hundred twelve trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred thousand, one hundred one".