102132332330031 has 24 divisors (see below), whose sum is σ = 147645807963264. Its totient is φ = 68032245072960.

The previous prime is 102132332329981. The next prime is 102132332330069. The reversal of 102132332330031 is 130033233231201.

102132332330031 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 2 + 3 + 323 + 300 + 31 = 666.

It is not a de Polignac number, because 102132332330031 - 2¹¹ = 102132332327983 is a prime.

It is a super-2 number, since 2×102132332330031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102132332329977 and 102132332330004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132332332031) 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, 57593250 + ... + 59340096.

It is an arithmetic number, because the mean of its divisors is an integer number (6151908665136).

Almost surely, 2^{102132332330031} is an apocalyptic number.

102132332330031 is a deficient number, since it is larger than the sum of its proper divisors (45513475633233).

102132332330031 is a wasteful number, since it uses less digits than its factorization.

102132332330031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752191 (or 1752188 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 102132332330031 its reverse (130033233231201), we get a palindrome (232165565561232).

The spelling of 102132332330031 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred thirty-two million, three hundred thirty thousand, thirty-one".