101002131313 has 4 divisors (see below), whose sum is σ = 101256545140. Its totient is φ = 100747717488.

The previous prime is 101002131301. The next prime is 101002131317. The reversal of 101002131313 is 313131200101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 60662212209 + 40339919104 = 246297^2 + 200848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101002131313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002131317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127206318 + ... + 127207111.

It is an arithmetic number, because the mean of its divisors is an integer number (25314136285).

Almost surely, 2^101002131313 is an apocalyptic number.

It is an amenable number.

101002131313 is a deficient number, since it is larger than the sum of its proper divisors (254413827).

101002131313 is an equidigital number, since it uses as much as digits as its factorization.

101002131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254413826.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101002131313 its reverse (313131200101), we get a palindrome (414133331414).

The spelling of 101002131313 in words is "one hundred one billion, two million, one hundred thirty-one thousand, three hundred thirteen".