2131130312100 has 288 divisors, whose sum is σ = 7244699642880. Its totient is φ = 536554368000.

The previous prime is 2131130312099. The next prime is 2131130312161. The reversal of 2131130312100 is 12130311312.

2131130312100 is a `hidden beast` number, since 2 + 1 + 311 + 30 + 312 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3121194 + ... + 3742206.

Almost surely, 2^{2131130312100} is an apocalyptic number.

2131130312100 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 2131130312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622349821440).

2131130312100 is an abundant number, since it is smaller than the sum of its proper divisors (5113569330780).

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

2131130312100 is a wasteful number, since it uses less digits than its factorization.

2131130312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621108 (or 621095 counting only the distinct ones).

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

Adding to 2131130312100 its reverse (12130311312), we get a palindrome (2143260623412).

The spelling of 2131130312100 in words is "two trillion, one hundred thirty-one billion, one hundred thirty million, three hundred twelve thousand, one hundred".