13130575400101 has 16 divisors (see below), whose sum is σ = 13723593523200. Its totient is φ = 12550703539248.

The previous prime is 13130575400093. The next prime is 13130575400119. The reversal of 13130575400101 is 10100457503131.

It is a cyclic number.

It is not a de Polignac number, because 13130575400101 - 2³ = 13130575400093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130575400141) 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, 15262260 + ... + 16099618.

It is an arithmetic number, because the mean of its divisors is an integer number (857724595200).

Almost surely, 2^{13130575400101} is an apocalyptic number.

It is an amenable number.

13130575400101 is a deficient number, since it is larger than the sum of its proper divisors (593018123099).

13130575400101 is an equidigital number, since it uses as much as digits as its factorization.

13130575400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845208.

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 13130575400101 in words is "thirteen trillion, one hundred thirty billion, five hundred seventy-five million, four hundred thousand, one hundred one".