2130113322090 has 192 divisors, whose sum is σ = 6022298554272. Its totient is φ = 519262617600.

The previous prime is 2130113322079. The next prime is 2130113322091. The reversal of 2130113322090 is 902233110312.

2130113322090 is a `hidden beast` number, since 2 + 1 + 301 + 1 + 332 + 20 + 9 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 137891167569 + 1992222154521 = 371337^2 + 1411461^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2130113322091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51015702 + ... + 51057438.

Almost surely, 2^{2130113322090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130113322090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011149277136).

2130113322090 is an abundant number, since it is smaller than the sum of its proper divisors (3892185232182).

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

2130113322090 is a wasteful number, since it uses less digits than its factorization.

2130113322090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42185 (or 42182 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 2130113322090 in words is "two trillion, one hundred thirty billion, one hundred thirteen million, three hundred twenty-two thousand, ninety".