101013031 has 8 divisors (see below), whose sum is σ = 122234400. Its totient is φ = 81489408.

The previous prime is 101013013. The next prime is 101013047. The reversal of 101013031 is 130310101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101013031 - 2⁵ = 101012999 is a prime.

It is a super-2 number, since 2×101013031² = 20407264863613922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012999 and 101013017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424306 + ... + 424543.

It is an arithmetic number, because the mean of its divisors is an integer number (15279300).

Almost surely, 2^101013031 is an apocalyptic number.

101013031 is a deficient number, since it is larger than the sum of its proper divisors (21221369).

101013031 is an equidigital number, since it uses as much as digits as its factorization.

101013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848873.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 101013031 is about 10050.5239166921. The cubic root of 101013031 is about 465.7209781339.

Adding to 101013031 its reverse (130310101), we get a palindrome (231323132).

It can be divided in two parts, 1010 and 13031, that added together give a palindrome (14041).

The spelling of 101013031 in words is "one hundred one million, thirteen thousand, thirty-one".