31021013100001 has 2 divisors, whose sum is σ = 31021013100002. Its totient is φ = 31021013100000.

The previous prime is 31021013099833. The next prime is 31021013100017. The reversal of 31021013100001 is 10000131012013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28408910660001 + 2612102440000 = 5330001^2 + 1616200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31021013100001 is a prime.

It is not a weakly prime, because it can be changed into another prime (31021013100061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15510506550000 + 15510506550001.

It is an arithmetic number, because the mean of its divisors is an integer number (15510506550001).

Almost surely, 2^{31021013100001} is an apocalyptic number.

It is an amenable number.

31021013100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31021013100001 is an equidigital number, since it uses as much as digits as its factorization.

31021013100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 31021013100001 its reverse (10000131012013), we get a palindrome (41021144112014).

The spelling of 31021013100001 in words is "thirty-one trillion, twenty-one billion, thirteen million, one hundred thousand, one".