101131132031 has 2 divisors, whose sum is σ = 101131132032. Its totient is φ = 101131132030.

The previous prime is 101131132009. The next prime is 101131132049. The reversal of 101131132031 is 130231131101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101131132031 - 2²² = 101126937727 is a prime.

It is a super-2 number, since 2×101131132031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131132231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565566015 + 50565566016.

It is an arithmetic number, because the mean of its divisors is an integer number (50565566016).

Almost surely, 2^101131132031 is an apocalyptic number.

101131132031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131132031 is an equidigital number, since it uses as much as digits as its factorization.

101131132031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101131132031 its reverse (130231131101), we get a palindrome (231362263132).

The spelling of 101131132031 in words is "one hundred one billion, one hundred thirty-one million, one hundred thirty-two thousand, thirty-one".