13121011101131 has 8 divisors (see below), whose sum is σ = 13151117574144. Its totient is φ = 13090906826920.

The previous prime is 13121011101097. The next prime is 13121011101137. The reversal of 13121011101131 is 13110111012131.

It is a happy number.

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 13121011101131 - 2¹⁰ = 13121011100107 is a prime.

It is a super-2 number, since 2×13121011101131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13121011101137) 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, 11711966 + ... + 12783276.

It is an arithmetic number, because the mean of its divisors is an integer number (1643889696768).

Almost surely, 2^{13121011101131} is an apocalyptic number.

13121011101131 is a deficient number, since it is larger than the sum of its proper divisors (30106473013).

13121011101131 is a wasteful number, since it uses less digits than its factorization.

13121011101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099401.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 13121011101131 its reverse (13110111012131), we get a palindrome (26231122113262).

The spelling of 13121011101131 in words is "thirteen trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, one hundred thirty-one".