100001011112131 has 2 divisors, whose sum is σ = 100001011112132. Its totient is φ = 100001011112130.

The previous prime is 100001011112071. The next prime is 100001011112141. The reversal of 100001011112131 is 131211110100001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100001011112131 - 2¹⁷ = 100001010981059 is a prime.

It is a super-2 number, since 2×100001011112131² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100001011112141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000505556065 + 50000505556066.

It is an arithmetic number, because the mean of its divisors is an integer number (50000505556066).

Almost surely, 2^{100001011112131} is an apocalyptic number.

100001011112131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001011112131 is an equidigital number, since it uses as much as digits as its factorization.

100001011112131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100001011112131 its reverse (131211110100001), we get a palindrome (231212121212132).

The spelling of 100001011112131 in words is "one hundred trillion, one billion, eleven million, one hundred twelve thousand, one hundred thirty-one".