131121210101313 has 16 divisors (see below), whose sum is σ = 178548445403136. Its totient is φ = 85554066071760.

The previous prime is 131121210101293. The next prime is 131121210101347. The reversal of 131121210101313 is 313101012121131.

It is not a de Polignac number, because 131121210101313 - 2⁵ = 131121210101281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131121210101313.

It is not an unprimeable number, because it can be changed into a prime (131121210101213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82974498 + ... + 84539988.

It is an arithmetic number, because the mean of its divisors is an integer number (11159277837696).

Almost surely, 2^{131121210101313} is an apocalyptic number.

It is an amenable number.

131121210101313 is a deficient number, since it is larger than the sum of its proper divisors (47427235301823).

131121210101313 is a wasteful number, since it uses less digits than its factorization.

131121210101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159564.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 131121210101313 its reverse (313101012121131), we get a palindrome (444222222222444).

The spelling of 131121210101313 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand, three hundred thirteen".