2100311302320 has 480 divisors, whose sum is σ = 8798330870784. Its totient is φ = 436214937600.

The previous prime is 2100311302273. The next prime is 2100311302421. The reversal of 2100311302320 is 232031130012.

2100311302320 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 311 + 30 + 2 + 320 = 666.

It is a super-2 number, since 2×2100311302320² (a number of 25 digits) contains 22 as substring.

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 = 2100311302293 and 2100311302302.

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, 129776949 + ... + 129793131.

Almost surely, 2^{2100311302320} is an apocalyptic number.

2100311302320 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 2100311302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399165435392).

2100311302320 is an abundant number, since it is smaller than the sum of its proper divisors (6698019568464).

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

2100311302320 is a wasteful number, since it uses less digits than its factorization.

2100311302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18561 (or 18552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2100311302320 its reverse (232031130012), we get a palindrome (2332342432332).

The spelling of 2100311302320 in words is "two trillion, one hundred billion, three hundred eleven million, three hundred two thousand, three hundred twenty".