130953828733 has 24 divisors (see below), whose sum is σ = 166362698880. Its totient is φ = 102152463840.

The previous prime is 130953828727. The next prime is 130953828739. The reversal of 130953828733 is 337828359031.

It is an interprime number because it is at equal distance from previous prime (130953828727) and next prime (130953828739).

It is not a de Polignac number, because 130953828733 - 2¹⁷ = 130953697661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130953828739) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1402513 + ... + 1492966.

It is an arithmetic number, because the mean of its divisors is an integer number (6931779120).

Almost surely, 2^130953828733 is an apocalyptic number.

130953828733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130953828733 is a deficient number, since it is larger than the sum of its proper divisors (35408870147).

130953828733 is a wasteful number, since it uses less digits than its factorization.

130953828733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895577 (or 2895570 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 130953828733 in words is "one hundred thirty billion, nine hundred fifty-three million, eight hundred twenty-eight thousand, seven hundred thirty-three".