101100000001031 has 2 divisors, whose sum is σ = 101100000001032. Its totient is φ = 101100000001030.

The previous prime is 101100000000997. The next prime is 101100000001051. The reversal of 101100000001031 is 130100000001101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101100000001031 - 2¹⁰ = 101100000000007 is a prime.

It is a super-2 number, since 2×101100000001031² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100000001051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550000000515 + 50550000000516.

It is an arithmetic number, because the mean of its divisors is an integer number (50550000000516).

Almost surely, 2^{101100000001031} is an apocalyptic number.

101100000001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100000001031 is an equidigital number, since it uses as much as digits as its factorization.

101100000001031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101100000001031 its reverse (130100000001101), we get a palindrome (231200000002132).

The spelling of 101100000001031 in words is "one hundred one trillion, one hundred billion, one thousand, thirty-one".