312213013101 has 24 divisors (see below), whose sum is σ = 508936577760. Its totient is φ = 182695178400.

The previous prime is 312213013097. The next prime is 312213013109. The reversal of 312213013101 is 101310312213.

312213013101 is a `hidden beast` number, since 31 + 2 + 21 + 301 + 310 + 1 = 666.

It is not a de Polignac number, because 312213013101 - 2² = 312213013097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213013109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54370695 + ... + 54376436.

It is an arithmetic number, because the mean of its divisors is an integer number (21205690740).

Almost surely, 2^312213013101 is an apocalyptic number.

It is an amenable number.

312213013101 is a deficient number, since it is larger than the sum of its proper divisors (196723564659).

312213013101 is a wasteful number, since it uses less digits than its factorization.

312213013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108747177 (or 108747174 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 312213013101 its reverse (101310312213), we get a palindrome (413523325314).

The spelling of 312213013101 in words is "three hundred twelve billion, two hundred thirteen million, thirteen thousand, one hundred one".