2133101310120 has 192 divisors, whose sum is σ = 7767214640640. Its totient is φ = 503139340800.

The previous prime is 2133101310107. The next prime is 2133101310167. The reversal of 2133101310120 is 210131013312.

2133101310120 is a `hidden beast` number, since 2 + 1 + 331 + 0 + 1 + 310 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2133101310093 and 2133101310102.

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, 7132696 + ... + 7425735.

It is an arithmetic number, because the mean of its divisors is an integer number (40454242920).

Almost surely, 2^{2133101310120} is an apocalyptic number.

2133101310120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133101310120 is an abundant number, since it is smaller than the sum of its proper divisors (5634113330520).

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

2133101310120 is a wasteful number, since it uses less digits than its factorization.

2133101310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14558496 (or 14558489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2133101310120 its reverse (210131013312), we get a palindrome (2343232323432).

The spelling of 2133101310120 in words is "two trillion, one hundred thirty-three billion, one hundred one million, three hundred ten thousand, one hundred twenty".