13131121300133 has 8 divisors (see below), whose sum is σ = 13141340467200. Its totient is φ = 13120902535408.

The previous prime is 13131121300123. The next prime is 13131121300169. The reversal of 13131121300133 is 33100312113131.

13131121300133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13131121300133 - 2²⁸ = 13130852864677 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13131121300099 and 13131121300108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131121300123) 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, 124544003 + ... + 124649391.

It is an arithmetic number, because the mean of its divisors is an integer number (1642667558400).

Almost surely, 2^{13131121300133} is an apocalyptic number.

It is an amenable number.

13131121300133 is a deficient number, since it is larger than the sum of its proper divisors (10219167067).

13131121300133 is a wasteful number, since it uses less digits than its factorization.

13131121300133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201171.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13131121300133 its reverse (33100312113131), we get a palindrome (46231433413264).

The spelling of 13131121300133 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty-one million, three hundred thousand, one hundred thirty-three".