2131001311122 has 40 divisors (see below), whose sum is σ = 4775111873532. Its totient is φ = 710320320000.

The previous prime is 2131001311097. The next prime is 2131001311171. The reversal of 2131001311122 is 2211131001312.

2131001311122 is a `hidden beast` number, since 21 + 310 + 0 + 1 + 311 + 1 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1651762173681 + 479239137441 = 1285209^2 + 692271^2 .

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 = 2131001311095 and 2131001311104.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12225622 + ... + 12398702.

Almost surely, 2^{2131001311122} is an apocalyptic number.

2131001311122 is an abundant number, since it is smaller than the sum of its proper divisors (2644110562410).

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

2131001311122 is a wasteful number, since it uses less digits than its factorization.

2131001311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249096 (or 249087 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2131001311122 its reverse (2211131001312), we get a palindrome (4342132312434).

The spelling of 2131001311122 in words is "two trillion, one hundred thirty-one billion, one million, three hundred eleven thousand, one hundred twenty-two".