102131332033120 has 144 divisors (see below), whose sum is σ = 261313332139440. Its totient is φ = 37704266975232.

The previous prime is 102131332032959. The next prime is 102131332033123. The reversal of 102131332033120 is 21330233131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131332033123) 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, 178692442 + ... + 179263078.

It is an arithmetic number, because the mean of its divisors is an integer number (1814675917635).

Almost surely, 2^{102131332033120} is an apocalyptic number.

102131332033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131332033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130656666069720).

102131332033120 is an abundant number, since it is smaller than the sum of its proper divisors (159182000106320).

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

102131332033120 is a wasteful number, since it uses less digits than its factorization.

102131332033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577297 (or 577276 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 102131332033120 its reverse (21330233131201), we get a palindrome (123461565164321).

The spelling of 102131332033120 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred thirty-two million, thirty-three thousand, one hundred twenty".