102033131300 has 144 divisors (see below), whose sum is σ = 245520035712. Its totient is φ = 36608563200.

The previous prime is 102033131281. The next prime is 102033131381. The reversal of 102033131300 is 3131330201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11060690 + ... + 11069910.

It is an arithmetic number, because the mean of its divisors is an integer number (1705000248).

Almost surely, 2^102033131300 is an apocalyptic number.

102033131300 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 102033131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760017856).

102033131300 is an abundant number, since it is smaller than the sum of its proper divisors (143486904412).

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

102033131300 is a wasteful number, since it uses less digits than its factorization.

102033131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9558 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 102033131300 its reverse (3131330201), we get a palindrome (105164461501).

The spelling of 102033131300 in words is "one hundred two billion, thirty-three million, one hundred thirty-one thousand, three hundred".