31311320302001 has 16 divisors (see below), whose sum is σ = 32525863146000. Its totient is φ = 30105991120128.

The previous prime is 31311320301973. The next prime is 31311320302013. The reversal of 31311320302001 is 10020302311313.

It can be written as a sum of positive squares in 8 ways, for example, as 729314292001 + 30582006010000 = 853999^2 + 5530100^2 .

It is not a de Polignac number, because 31311320302001 - 2¹⁰ = 31311320300977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31311320302051) 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, 5822435 + ... + 9824631.

It is an arithmetic number, because the mean of its divisors is an integer number (2032866446625).

Almost surely, 2^{31311320302001} is an apocalyptic number.

It is an amenable number.

31311320302001 is a deficient number, since it is larger than the sum of its proper divisors (1214542843999).

31311320302001 is a wasteful number, since it uses less digits than its factorization.

31311320302001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003348.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31311320302001 its reverse (10020302311313), we get a palindrome (41331622613314).

The spelling of 31311320302001 in words is "thirty-one trillion, three hundred eleven billion, three hundred twenty million, three hundred two thousand, one".