102133011313200 has 120 divisors (see below), whose sum is σ = 373904090971648. Its totient is φ = 23344688298240.

The previous prime is 102133011313117. The next prime is 102133011313213. The reversal of 102133011313200 is 2313110331201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6079337512 + ... + 6079354311.

Almost surely, 2^{102133011313200} is an apocalyptic number.

102133011313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133011313200 is an abundant number, since it is smaller than the sum of its proper divisors (271771079658448).

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

102133011313200 is a wasteful number, since it uses less digits than its factorization.

102133011313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12158691851 (or 12158691840 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102133011313200 its reverse (2313110331201), we get a palindrome (104446121644401).

The spelling of 102133011313200 in words is "one hundred two trillion, one hundred thirty-three billion, eleven million, three hundred thirteen thousand, two hundred".