31020100030013 has 2 divisors, whose sum is σ = 31020100030014. Its totient is φ = 31020100030012.

The previous prime is 31020100030009. The next prime is 31020100030021. The reversal of 31020100030013 is 31003000102013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28037840435929 + 2982259594084 = 5295077^2 + 1726922^2 .

It is a cyclic number.

It is not a de Polignac number, because 31020100030013 - 2² = 31020100030009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31020100030013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31020100030043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15510050015006 + 15510050015007.

It is an arithmetic number, because the mean of its divisors is an integer number (15510050015007).

Almost surely, 2^{31020100030013} is an apocalyptic number.

It is an amenable number.

31020100030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31020100030013 is an equidigital number, since it uses as much as digits as its factorization.

31020100030013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31020100030013 its reverse (31003000102013), we get a palindrome (62023100132026).

The spelling of 31020100030013 in words is "thirty-one trillion, twenty billion, one hundred million, thirty thousand, thirteen".