131100013312032 has 192 divisors, whose sum is σ = 371516471424000. Its totient is φ = 40354966299648.

The previous prime is 131100013312001. The next prime is 131100013312067. The reversal of 131100013312032 is 230213310001131.

It is a happy number.

It is a super-2 number, since 2×131100013312032² (a number of 29 digits) contains 22 as substring.

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, 754146019 + ... + 754319837.

It is an arithmetic number, because the mean of its divisors is an integer number (1934981622000).

Almost surely, 2^{131100013312032} is an apocalyptic number.

131100013312032 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 131100013312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185758235712000).

131100013312032 is an abundant number, since it is smaller than the sum of its proper divisors (240416458111968).

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

131100013312032 is a wasteful number, since it uses less digits than its factorization.

131100013312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185663 (or 185655 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131100013312032 its reverse (230213310001131), we get a palindrome (361313323313163).

The spelling of 131100013312032 in words is "one hundred thirty-one trillion, one hundred billion, thirteen million, three hundred twelve thousand, thirty-two".