31100132301313 has 16 divisors (see below), whose sum is σ = 31327723239120. Its totient is φ = 30873382262784.

The previous prime is 31100132301299. The next prime is 31100132301341. The reversal of 31100132301313 is 31310323100113.

It can be written as a sum of positive squares in 8 ways, for example, as 637934469264 + 30462197832049 = 798708^2 + 5519257^2 .

It is a cyclic number.

It is not a de Polignac number, because 31100132301313 - 2²⁹ = 31099595430401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31100132301113) 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, 347858745 + ... + 347948137.

It is an arithmetic number, because the mean of its divisors is an integer number (1957982702445).

Almost surely, 2^{31100132301313} is an apocalyptic number.

It is an amenable number.

31100132301313 is a deficient number, since it is larger than the sum of its proper divisors (227590937807).

31100132301313 is a wasteful number, since it uses less digits than its factorization.

31100132301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94068.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 31100132301313 its reverse (31310323100113), we get a palindrome (62410455401426).

The spelling of 31100132301313 in words is "thirty-one trillion, one hundred billion, one hundred thirty-two million, three hundred one thousand, three hundred thirteen".