31100313031013 has 16 divisors (see below), whose sum is σ = 31386314559600. Its totient is φ = 30815586547200.

The previous prime is 31100313030977. The next prime is 31100313031057. The reversal of 31100313031013 is 31013031300113.

It can be written as a sum of positive squares in 8 ways, for example, as 11823708627844 + 19276604403169 = 3438562^2 + 4390513^2 .

It is a cyclic number.

It is not a de Polignac number, because 31100313031013 - 2²⁴ = 31100296253797 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 (31100313531013) 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, 748500563 + ... + 748542111.

It is an arithmetic number, because the mean of its divisors is an integer number (1961644659975).

Almost surely, 2^{31100313031013} is an apocalyptic number.

It is an amenable number.

31100313031013 is a deficient number, since it is larger than the sum of its proper divisors (286001528587).

31100313031013 is a wasteful number, since it uses less digits than its factorization.

31100313031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56728.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 31100313031013 its reverse (31013031300113), we get a palindrome (62113344331126).

The spelling of 31100313031013 in words is "thirty-one trillion, one hundred billion, three hundred thirteen million, thirty-one thousand, thirteen".