102133113332 has 48 divisors (see below), whose sum is σ = 190201655952. Its totient is φ = 47820472320.

The previous prime is 102133113311. The next prime is 102133113373. The reversal of 102133113332 is 233311331201.

It can be written as a sum of positive squares in 8 ways, for example, as 5552634256 + 96580479076 = 74516^2 + 310774^2 .

It is a super-2 number, since 2×102133113332² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102133113298 and 102133113307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25448558 + ... + 25452570.

It is an arithmetic number, because the mean of its divisors is an integer number (3962534499).

Almost surely, 2^102133113332 is an apocalyptic number.

It is an amenable number.

102133113332 is a deficient number, since it is larger than the sum of its proper divisors (88068542620).

102133113332 is a wasteful number, since it uses less digits than its factorization.

102133113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 102133113332 its reverse (233311331201), we get a palindrome (335444444533).

The spelling of 102133113332 in words is "one hundred two billion, one hundred thirty-three million, one hundred thirteen thousand, three hundred thirty-two".