3133131002101 has 16 divisors (see below), whose sum is σ = 3421971465840. Its totient is φ = 2856602004480.

The previous prime is 3133131002021. The next prime is 3133131002149. The reversal of 3133131002101 is 1012001313313.

It can be written as a sum of positive squares in 8 ways, for example, as 1697220095076 + 1435910907025 = 1302774^2 + 1198295^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133131002101 - 2¹¹ = 3133131000053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133131002171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10731790 + ... + 11019871.

It is an arithmetic number, because the mean of its divisors is an integer number (213873216615).

Almost surely, 2^{3133131002101} is an apocalyptic number.

It is an amenable number.

3133131002101 is a deficient number, since it is larger than the sum of its proper divisors (288840463739).

3133131002101 is a wasteful number, since it uses less digits than its factorization.

3133131002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21751944.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 3133131002101 its reverse (1012001313313), we get a palindrome (4145132315414).

The spelling of 3133131002101 in words is "three trillion, one hundred thirty-three billion, one hundred thirty-one million, two thousand, one hundred one".