10132131442032 has 60 divisors (see below), whose sum is σ = 28363579563384. Its totient is φ = 3376461939840.

The previous prime is 10132131442031. The next prime is 10132131442093. The reversal of 10132131442032 is 23024413123101.

10132131442032 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 213 + 1 + 442 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×10132131442032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132131441987 and 10132131442005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132131442031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9000063 + ... + 10063070.

Almost surely, 2^{10132131442032} is an apocalyptic number.

10132131442032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10132131442032 is an abundant number, since it is smaller than the sum of its proper divisors (18231448121352).

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

10132131442032 is a wasteful number, since it uses less digits than its factorization.

10132131442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19066838 (or 19066829 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10132131442032 its reverse (23024413123101), we get a palindrome (33156544565133).

The spelling of 10132131442032 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-one million, four hundred forty-two thousand, thirty-two".