131102100432 has 120 divisors (see below), whose sum is σ = 372147902984. Its totient is φ = 43076800512.

The previous prime is 131102100397. The next prime is 131102100439. The reversal of 131102100432 is 234001201131.

131102100432 is a `hidden beast` number, since 1 + 31 + 102 + 100 + 432 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30686630976 + 100415469456 = 175176^2 + 316884^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131102100439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28516758 + ... + 28521354.

Almost surely, 2^131102100432 is an apocalyptic number.

131102100432 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 131102100432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186073951492).

131102100432 is an abundant number, since it is smaller than the sum of its proper divisors (241045802552).

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

131102100432 is a wasteful number, since it uses less digits than its factorization.

131102100432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131102100432 its reverse (234001201131), we get a palindrome (365103301563).

The spelling of 131102100432 in words is "one hundred thirty-one billion, one hundred two million, one hundred thousand, four hundred thirty-two".