131561521516032 has 320 divisors, whose sum is σ = 371629474191360. Its totient is φ = 41285305958400.

The previous prime is 131561521515943. The next prime is 131561521516081. The reversal of 131561521516032 is 230615125165131.

It is a super-2 number, since 2×131561521516032² (a number of 29 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 31 ways as a sum of consecutive naturals, for example, 3343942953 + ... + 3343982295.

It is an arithmetic number, because the mean of its divisors is an integer number (1161342106848).

Almost surely, 2^{131561521516032} is an apocalyptic number.

131561521516032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131561521516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185814737095680).

131561521516032 is an abundant number, since it is smaller than the sum of its proper divisors (240067952675328).

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

131561521516032 is a wasteful number, since it uses less digits than its factorization.

131561521516032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41265 (or 41249 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 131561521516032 in words is "one hundred thirty-one trillion, five hundred sixty-one billion, five hundred twenty-one million, five hundred sixteen thousand, thirty-two".