131333100113 has 16 divisors (see below), whose sum is σ = 143850712320. Its totient is φ = 119475922176.

The previous prime is 131333100103. The next prime is 131333100131. The reversal of 131333100113 is 311001333131.

It is a cyclic number.

It is not a de Polignac number, because 131333100113 - 2¹² = 131333096017 is a prime.

It is a super-2 number, since 2×131333100113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131333100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340120 + ... + 1434777.

It is an arithmetic number, because the mean of its divisors is an integer number (8990669520).

Almost surely, 2^131333100113 is an apocalyptic number.

It is an amenable number.

131333100113 is a deficient number, since it is larger than the sum of its proper divisors (12517612207).

131333100113 is a wasteful number, since it uses less digits than its factorization.

131333100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775016.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131333100113 its reverse (311001333131), we get a palindrome (442334433244).

The spelling of 131333100113 in words is "one hundred thirty-one billion, three hundred thirty-three million, one hundred thousand, one hundred thirteen".