132131262131231 has 48 divisors (see below), whose sum is σ = 146908384560000. Its totient is φ = 118828757124000.

The previous prime is 132131262131173. The next prime is 132131262131233.

It is a happy number.

132131262131231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132131262131231 - 2²⁶ = 132131195022367 is a prime.

It is a super-3 number, since 3×132131262131231³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131262131233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24382957640 + ... + 24382963058.

It is an arithmetic number, because the mean of its divisors is an integer number (3060591345000).

Almost surely, 2^{132131262131231} is an apocalyptic number.

132131262131231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132131262131231 is a deficient number, since it is larger than the sum of its proper divisors (14777122428769).

132131262131231 is an frugal number, since it uses more digits than its factorization.

132131262131231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7074 (or 7030 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The spelling of 132131262131231 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, two hundred sixty-two million, one hundred thirty-one thousand, two hundred thirty-one".