31003131133001 has 2 divisors, whose sum is σ = 31003131133002. Its totient is φ = 31003131133000.

The previous prime is 31003131132989. The next prime is 31003131133033. The reversal of 31003131133001 is 10033113130013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30580402302025 + 422728830976 = 5529955^2 + 650176^2 .

It is a cyclic number.

It is not a de Polignac number, because 31003131133001 - 2¹⁰ = 31003131131977 is a prime.

It is a super-2 number, since 2×31003131133001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31003131133061) 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, 15501565566500 + 15501565566501.

It is an arithmetic number, because the mean of its divisors is an integer number (15501565566501).

Almost surely, 2^{31003131133001} is an apocalyptic number.

It is an amenable number.

31003131133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31003131133001 is an equidigital number, since it uses as much as digits as its factorization.

31003131133001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 31003131133001 its reverse (10033113130013), we get a palindrome (41036244263014).

The spelling of 31003131133001 in words is "thirty-one trillion, three billion, one hundred thirty-one million, one hundred thirty-three thousand, one".