131121003013 has 72 divisors (see below), whose sum is σ = 186780981240. Its totient is φ = 91059091200.

The previous prime is 131121002983. The next prime is 131121003059. The reversal of 131121003013 is 310300121131.

It can be written as a sum of positive squares in 4 ways, for example, as 205119684 + 130915883329 = 14322^2 + 361823^2 .

It is not a de Polignac number, because 131121003013 - 2⁹ = 131121002501 is a prime.

It is a super-2 number, since 2×131121003013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121003073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2205903 + ... + 2264563.

It is an arithmetic number, because the mean of its divisors is an integer number (2594180295).

Almost surely, 2^131121003013 is an apocalyptic number.

131121003013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131121003013 is a deficient number, since it is larger than the sum of its proper divisors (55659978227).

131121003013 is a wasteful number, since it uses less digits than its factorization.

131121003013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58739 (or 58721 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131121003013 its reverse (310300121131), we get a palindrome (441421124144).

The spelling of 131121003013 in words is "one hundred thirty-one billion, one hundred twenty-one million, three thousand, thirteen".