2210101312131 has 32 divisors (see below), whose sum is σ = 3489275013120. Its totient is φ = 1379353992192.

The previous prime is 2210101312127. The next prime is 2210101312171. The reversal of 2210101312131 is 1312131010122.

2210101312131 is a `hidden beast` number, since 2 + 210 + 10 + 1 + 312 + 131 = 666.

It is not a de Polignac number, because 2210101312131 - 2² = 2210101312127 is a prime.

It is a super-2 number, since 2×2210101312131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2210101312171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37831870 + ... + 37890243.

It is an arithmetic number, because the mean of its divisors is an integer number (109039844160).

Almost surely, 2^{2210101312131} is an apocalyptic number.

2210101312131 is a deficient number, since it is larger than the sum of its proper divisors (1279173700989).

2210101312131 is a wasteful number, since it uses less digits than its factorization.

2210101312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75722192 (or 75722186 counting only the distinct ones).

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

Adding to 2210101312131 its reverse (1312131010122), we get a palindrome (3522232322253).

The spelling of 2210101312131 in words is "two trillion, two hundred ten billion, one hundred one million, three hundred twelve thousand, one hundred thirty-one".