131561332464 has 120 divisors (see below), whose sum is σ = 360405956352. Its totient is φ = 41347635840.

The previous prime is 131561332439. The next prime is 131561332477. The reversal of 131561332464 is 464233165131.

It is a super-2 number, since 2×131561332464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3638217 + ... + 3674199.

Almost surely, 2^131561332464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131561332464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180202978176).

131561332464 is an abundant number, since it is smaller than the sum of its proper divisors (228844623888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131561332464 is a wasteful number, since it uses less digits than its factorization.

131561332464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36243 (or 36218 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

Adding to 131561332464 its reverse (464233165131), we get a palindrome (595794497595).

It can be divided in two parts, 13156 and 1332464, that added together give a triangular number (1345620 = T₁₆₄₀).

The spelling of 131561332464 in words is "one hundred thirty-one billion, five hundred sixty-one million, three hundred thirty-two thousand, four hundred sixty-four".