312314330201301 has 14 divisors (see below), whose sum is σ = 468257287943510. Its totient is φ = 208209553467048.

The previous prime is 312314330201281. The next prime is 312314330201303. The reversal of 312314330201301 is 103102033413213.

312314330201301 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 4 + 330 + 20 + 1 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211750517722500 + 100563812478801 = 14551650^2 + 10028151^2 .

It is not a de Polignac number, because 312314330201301 - 2¹⁹ = 312314329677013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312314330201303) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 214207358806 + ... + 214207360263.

Almost surely, 2^{312314330201301} is an apocalyptic number.

It is an amenable number.

312314330201301 is a deficient number, since it is larger than the sum of its proper divisors (155942957742209).

312314330201301 is an frugal number, since it uses more digits than its factorization.

312314330201301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428414719087 (or 428414719072 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 312314330201301 its reverse (103102033413213), we get a palindrome (415416363614514).

The spelling of 312314330201301 in words is "three hundred twelve trillion, three hundred fourteen billion, three hundred thirty million, two hundred one thousand, three hundred one".