130031001133013 has 8 divisors (see below), whose sum is σ = 137715916043160. Its totient is φ = 122350089832960.

The previous prime is 130031001132997. The next prime is 130031001133097. The reversal of 130031001133013 is 310331100130031.

It can be written as a sum of positive squares in 4 ways, for example, as 97412201936644 + 32618799196369 = 9869762^2 + 5711287^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130031001133013 - 2⁴ = 130031001132997 is a prime.

It is a super-2 number, since 2×130031001133013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031001136013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000835648 + ... + 1000965561.

It is an arithmetic number, because the mean of its divisors is an integer number (17214489505395).

Almost surely, 2^{130031001133013} is an apocalyptic number.

It is an amenable number.

130031001133013 is a deficient number, since it is larger than the sum of its proper divisors (7684914910147).

130031001133013 is a wasteful number, since it uses less digits than its factorization.

130031001133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001805047.

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

Adding to 130031001133013 its reverse (310331100130031), we get a palindrome (440362101263044).

The spelling of 130031001133013 in words is "one hundred thirty trillion, thirty-one billion, one million, one hundred thirty-three thousand, thirteen".