31635438013 has 2 divisors, whose sum is σ = 31635438014. Its totient is φ = 31635438012.

The previous prime is 31635437963. The next prime is 31635438053. The reversal of 31635438013 is 31083453613.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20845006884 + 10790431129 = 144378^2 + 103877^2 .

It is a cyclic number.

It is not a de Polignac number, because 31635438013 - 2²¹ = 31633340861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31635438053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15817719006 + 15817719007.

It is an arithmetic number, because the mean of its divisors is an integer number (15817719007).

Almost surely, 2^31635438013 is an apocalyptic number.

It is an amenable number.

31635438013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31635438013 is an equidigital number, since it uses as much as digits as its factorization.

31635438013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 31635438013 in words is "thirty-one billion, six hundred thirty-five million, four hundred thirty-eight thousand, thirteen".