102133100331 has 12 divisors (see below), whose sum is σ = 151512767952. Its totient is φ = 66248497296.

The previous prime is 102133100287. The next prime is 102133100347. The reversal of 102133100331 is 133001331201.

It is a happy number.

102133100331 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 331 + 0 + 0 + 331 = 666.

It is not a de Polignac number, because 102133100331 - 2¹⁷ = 102132969259 is a prime.

It is a super-2 number, since 2×102133100331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102133100831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153352671 + ... + 153353336.

It is an arithmetic number, because the mean of its divisors is an integer number (12626063996).

Almost surely, 2^102133100331 is an apocalyptic number.

102133100331 is a deficient number, since it is larger than the sum of its proper divisors (49379667621).

102133100331 is a wasteful number, since it uses less digits than its factorization.

102133100331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306706050 (or 306706047 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102133100331 its reverse (133001331201), we get a palindrome (235134431532).

The spelling of 102133100331 in words is "one hundred two billion, one hundred thirty-three million, one hundred thousand, three hundred thirty-one".