101231131031 has 2 divisors, whose sum is σ = 101231131032. Its totient is φ = 101231131030.

The previous prime is 101231131003. The next prime is 101231131037. The reversal of 101231131031 is 130131132101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101231131031 - 2¹⁸ = 101230868887 is a prime.

It is a super-2 number, since 2×101231131031² (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 (101231131037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50615565515 + 50615565516.

It is an arithmetic number, because the mean of its divisors is an integer number (50615565516).

Almost surely, 2^101231131031 is an apocalyptic number.

101231131031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231131031 is an equidigital number, since it uses as much as digits as its factorization.

101231131031 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 101231131031 its reverse (130131132101), we get a palindrome (231362263132).

It can be divided in two parts, 101 and 231131031, that added together give a palindrome (231131132).

The spelling of 101231131031 in words is "one hundred one billion, two hundred thirty-one million, one hundred thirty-one thousand, thirty-one".