131100422233032 has 384 divisors, whose sum is σ = 432503537356800. Its totient is φ = 36431114024448.

The previous prime is 131100422233007. The next prime is 131100422233049. The reversal of 131100422233032 is 230332224001131.

131100422233032 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 0 + 422 + 233 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×131100422233032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131100422232987 and 131100422233005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71117068 + ... + 72937220.

It is an arithmetic number, because the mean of its divisors is an integer number (1126311295200).

Almost surely, 2^{131100422233032} is an apocalyptic number.

131100422233032 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 131100422233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216251768678400).

131100422233032 is an abundant number, since it is smaller than the sum of its proper divisors (301403115123768).

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

131100422233032 is a wasteful number, since it uses less digits than its factorization.

131100422233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820327 (or 1820311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131100422233032 its reverse (230332224001131), we get a palindrome (361432646234163).

The spelling of 131100422233032 in words is "one hundred thirty-one trillion, one hundred billion, four hundred twenty-two million, two hundred thirty-three thousand, thirty-two".