312035552101 has 64 divisors (see below), whose sum is σ = 404617199616. Its totient is φ = 234032198400.

The previous prime is 312035552047. The next prime is 312035552111. The reversal of 312035552101 is 101255530213.

It is not a de Polignac number, because 312035552101 - 2¹⁷ = 312035421029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312035552101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312035552111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31440726 + ... + 31450648.

It is an arithmetic number, because the mean of its divisors is an integer number (6322143744).

Almost surely, 2^312035552101 is an apocalyptic number.

312035552101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312035552101 is a deficient number, since it is larger than the sum of its proper divisors (92581647515).

312035552101 is a wasteful number, since it uses less digits than its factorization.

312035552101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 312035552101 in words is "three hundred twelve billion, thirty-five million, five hundred fifty-two thousand, one hundred one".