31130102101001 has 2 divisors, whose sum is σ = 31130102101002. Its totient is φ = 31130102101000.

The previous prime is 31130102100961. The next prime is 31130102101009. The reversal of 31130102101001 is 10010120103113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17253024312976 + 13877077788025 = 4153676^2 + 3725195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31130102101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (31130102101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565051050500 + 15565051050501.

It is an arithmetic number, because the mean of its divisors is an integer number (15565051050501).

Almost surely, 2^{31130102101001} is an apocalyptic number.

It is an amenable number.

31130102101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31130102101001 is an equidigital number, since it uses as much as digits as its factorization.

31130102101001 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 14.

Adding to 31130102101001 its reverse (10010120103113), we get a palindrome (41140222204114).

The spelling of 31130102101001 in words is "thirty-one trillion, one hundred thirty billion, one hundred two million, one hundred one thousand, one".