100032131312031 has 16 divisors (see below), whose sum is σ = 133756316536320. Its totient is φ = 66498023328000.

The previous prime is 100032131311993. The next prime is 100032131312033. The reversal of 100032131312031 is 130213131230001.

It is a happy number.

It is not a de Polignac number, because 100032131312031 - 2¹⁷ = 100032131180959 is a prime.

It is a super-2 number, since 2×100032131312031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100032131311989 and 100032131312007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032131312033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63021930 + ... + 64589688.

It is an arithmetic number, because the mean of its divisors is an integer number (8359769783520).

Almost surely, 2^{100032131312031} is an apocalyptic number.

100032131312031 is a deficient number, since it is larger than the sum of its proper divisors (33724185224289).

100032131312031 is a wasteful number, since it uses less digits than its factorization.

100032131312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628366.

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

Adding to 100032131312031 its reverse (130213131230001), we get a palindrome (230245262542032).

The spelling of 100032131312031 in words is "one hundred trillion, thirty-two billion, one hundred thirty-one million, three hundred twelve thousand, thirty-one".