131100100033032 has 384 divisors, whose sum is σ = 386691614400000. Its totient is φ = 39885805320192.

The previous prime is 131100100033031. The next prime is 131100100033051. The reversal of 131100100033032 is 230330001001131.

It is a happy number.

131100100033032 is a `hidden beast` number, since 131 + 100 + 100 + 0 + 330 + 3 + 2 = 666.

It is a super-2 number, since 2×131100100033032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131100100032996 and 131100100033014.

It is not an unprimeable number, because it can be changed into a prime (131100100033031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64613158194 + ... + 64613160222.

It is an arithmetic number, because the mean of its divisors is an integer number (1007009412500).

Almost surely, 2^{131100100033032} is an apocalyptic number.

131100100033032 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 131100100033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193345807200000).

131100100033032 is an abundant number, since it is smaller than the sum of its proper divisors (255591514366968).

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

131100100033032 is a wasteful number, since it uses less digits than its factorization.

131100100033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131100100033032 its reverse (230330001001131), we get a palindrome (361430101034163).

The spelling of 131100100033032 in words is "one hundred thirty-one trillion, one hundred billion, one hundred million, thirty-three thousand, thirty-two".