2101331913120 has 576 divisors, whose sum is σ = 8241221439360. Its totient is φ = 482203238400.

The previous prime is 2101331913097. The next prime is 2101331913179. The reversal of 2101331913120 is 213191331012.

2101331913120 is a `hidden beast` number, since 2 + 10 + 1 + 331 + 9 + 1 + 312 + 0 = 666.

It is a super-4 number, since 4×2101331913120⁴ (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 517950132 + ... + 517954188.

It is an arithmetic number, because the mean of its divisors is an integer number (14307676110).

Almost surely, 2^{2101331913120} is an apocalyptic number.

2101331913120 is a gapful number since it is divisible by the number (20) 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 2101331913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120610719680).

2101331913120 is an abundant number, since it is smaller than the sum of its proper divisors (6139889526240).

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

2101331913120 is a wasteful number, since it uses less digits than its factorization.

2101331913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 2101331913120 in words is "two trillion, one hundred one billion, three hundred thirty-one million, nine hundred thirteen thousand, one hundred twenty".