13137507007575 has 24 divisors (see below), whose sum is σ = 21720802029696. Its totient is φ = 7006630476000.

The previous prime is 13137507007519. The next prime is 13137507007621. The reversal of 13137507007575 is 57570070573131.

It is a happy number.

It is not a de Polignac number, because 13137507007575 - 2²⁸ = 13137238572119 is a prime.

It is a super-2 number, since 2×13137507007575² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16653820 + ... + 17424830.

It is an arithmetic number, because the mean of its divisors is an integer number (905033417904).

Almost surely, 2^{13137507007575} is an apocalyptic number.

13137507007575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13137507007575 is a deficient number, since it is larger than the sum of its proper divisors (8583295022121).

13137507007575 is a wasteful number, since it uses less digits than its factorization.

13137507007575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998215 (or 998210 counting only the distinct ones).

The product of its (nonzero) digits is 2701125, while the sum is 51.

The spelling of 13137507007575 in words is "thirteen trillion, one hundred thirty-seven billion, five hundred seven million, seven thousand, five hundred seventy-five".