130033021313 has 16 divisors (see below), whose sum is σ = 147573417600. Its totient is φ = 113583824640.

The previous prime is 130033021303. The next prime is 130033021319. The reversal of 130033021313 is 313120330031.

It is not a de Polignac number, because 130033021313 - 2¹⁴ = 130033004929 is a prime.

It is a super-2 number, since 2×130033021313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130033021319) 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, 81173 + ... + 516386.

It is an arithmetic number, because the mean of its divisors is an integer number (9223338600).

Almost surely, 2^130033021313 is an apocalyptic number.

130033021313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130033021313 is a deficient number, since it is larger than the sum of its proper divisors (17540396287).

130033021313 is a wasteful number, since it uses less digits than its factorization.

130033021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598472.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 130033021313 its reverse (313120330031), we get a palindrome (443153351344).

The spelling of 130033021313 in words is "one hundred thirty billion, thirty-three million, twenty-one thousand, three hundred thirteen".