102133310331312 has 80 divisors (see below), whose sum is σ = 315711229958880. Its totient is φ = 31425633946368.

The previous prime is 102133310331307. The next prime is 102133310331319. The reversal of 102133310331312 is 213133013331201.

102133310331312 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 3 + 3 + 10 + 331 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102133310331319) 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, 9093059763 + ... + 9093070994.

It is an arithmetic number, because the mean of its divisors is an integer number (3946390374486).

Almost surely, 2^{102133310331312} is an apocalyptic number.

102133310331312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102133310331312 is an abundant number, since it is smaller than the sum of its proper divisors (213577919627568).

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

102133310331312 is a wasteful number, since it uses less digits than its factorization.

102133310331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186130787 (or 18186130775 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 102133310331312 its reverse (213133013331201), we get a palindrome (315266323662513).

The spelling of 102133310331312 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred ten million, three hundred thirty-one thousand, three hundred twelve".