2100131313120 has 288 divisors, whose sum is σ = 7517005711488. Its totient is φ = 533304705024.

The previous prime is 2100131313103. The next prime is 2100131313143. The reversal of 2100131313120 is 213131310012.

2100131313120 is a `hidden beast` number, since 2 + 100 + 131 + 313 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 2100131313093 and 2100131313102.

It is a congruent number.

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, 2084832 + ... + 2923488.

It is an arithmetic number, because the mean of its divisors is an integer number (26100714276).

Almost surely, 2^{2100131313120} is an apocalyptic number.

2100131313120 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 2100131313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758502855744).

2100131313120 is an abundant number, since it is smaller than the sum of its proper divisors (5416874398368).

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

2100131313120 is a wasteful number, since it uses less digits than its factorization.

2100131313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838762 (or 838751 counting only the distinct ones).

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

Adding to 2100131313120 its reverse (213131310012), we get a palindrome (2313262623132).

The spelling of 2100131313120 in words is "two trillion, one hundred billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".