101131031 has 2 divisors, whose sum is σ = 101131032. Its totient is φ = 101131030.

The previous prime is 101131013. The next prime is 101131039. The reversal of 101131031 is 130131101.

It is a happy number.

Together with previous prime (101131013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101131031 - 2²⁶ = 34022167 is a prime.

It is a super-2 number, since 2×101131031² = 20454970862245922, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101131039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50565515 + 50565516.

It is an arithmetic number, because the mean of its divisors is an integer number (50565516).

Almost surely, 2^101131031 is an apocalyptic number.

101131031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101131031 is an equidigital number, since it uses as much as digits as its factorization.

101131031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 101131031 is about 10056.3925440488. The cubic root of 101131031 is about 465.9022540540.

Adding to 101131031 its reverse (130131101), we get a palindrome (231262132).

The spelling of 101131031 in words is "one hundred one million, one hundred thirty-one thousand, thirty-one".