131553404355131 has 8 divisors (see below), whose sum is σ = 144698860990128. Its totient is φ = 119594003958000.

The previous prime is 131553404355029. The next prime is 131553404355167.

131553404355131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131553404355131 - 2¹⁰ = 131553404354107 is a prime.

It is a super-3 number, since 3×131553404355131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131553404355181) 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, 49419008570 + ... + 49419011231.

It is an arithmetic number, because the mean of its divisors is an integer number (18087357623766).

Almost surely, 2^{131553404355131} is an apocalyptic number.

131553404355131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131553404355131 is a deficient number, since it is larger than the sum of its proper divisors (13145456634997).

131553404355131 is an frugal number, since it uses more digits than its factorization.

131553404355131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98838019834 (or 98838019812 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 131553404355131 in words is "one hundred thirty-one trillion, five hundred fifty-three billion, four hundred four million, three hundred fifty-five thousand, one hundred thirty-one".