101031031 has 2 divisors, whose sum is σ = 101031032. Its totient is φ = 101031030.

The previous prime is 101030981. The next prime is 101031043. The reversal of 101031031 is 130130101.

It is a strong prime.

It is an emirp because it is prime and its reverse (130130101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101031031 - 2⁷ = 101030903 is a prime.

It is a super-2 number, since 2×101031031² = 20414538449845922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101030999 and 101031017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515515 + 50515516.

It is an arithmetic number, because the mean of its divisors is an integer number (50515516).

Almost surely, 2^101031031 is an apocalyptic number.

101031031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031031 is an equidigital number, since it uses as much as digits as its factorization.

101031031 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 10.

The square root of 101031031 is about 10051.4193525094. The cubic root of 101031031 is about 465.7486395146.

Adding to 101031031 its reverse (130130101), we get a palindrome (231161132).

It can be divided in two parts, 1010 and 31031, that added together give a square (32041 = 179²).

The spelling of 101031031 in words is "one hundred one million, thirty-one thousand, thirty-one".