100211310023131 has 16 divisors (see below), whose sum is σ = 101140395171840. Its totient is φ = 99284479176960.

The previous prime is 100211310023107. The next prime is 100211310023161. The reversal of 100211310023131 is 131320013112001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211310023131 is a prime.

It is a super-2 number, since 2×100211310023131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211310023099 and 100211310023108.

It is not an unprimeable number, because it can be changed into a prime (100211310023161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385792560 + ... + 386052226.

It is an arithmetic number, because the mean of its divisors is an integer number (6321274698240).

Almost surely, 2^{100211310023131} is an apocalyptic number.

100211310023131 is a deficient number, since it is larger than the sum of its proper divisors (929085148709).

100211310023131 is a wasteful number, since it uses less digits than its factorization.

100211310023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263994.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100211310023131 its reverse (131320013112001), we get a palindrome (231531323135132).

The spelling of 100211310023131 in words is "one hundred trillion, two hundred eleven billion, three hundred ten million, twenty-three thousand, one hundred thirty-one".