312011000110213 has 16 divisors (see below), whose sum is σ = 318617471442816. Its totient is φ = 305467899390720.

The previous prime is 312011000110177. The next prime is 312011000110267.

It is a happy number.

312011000110213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312011000110213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312011000110913) 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, 134090008 + ... + 136397038.

It is an arithmetic number, because the mean of its divisors is an integer number (19913591965176).

Almost surely, 2^{312011000110213} is an apocalyptic number.

It is an amenable number.

312011000110213 is a deficient number, since it is larger than the sum of its proper divisors (6606471332603).

312011000110213 is a wasteful number, since it uses less digits than its factorization.

312011000110213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320764.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 312011000 and 110213, that added together give a palindrome (312121213).

The spelling of 312011000110213 in words is "three hundred twelve trillion, eleven billion, one hundred ten thousand, two hundred thirteen".