10072711231 has 4 divisors (see below), whose sum is σ = 10988412264. Its totient is φ = 9157010200.

The previous prime is 10072711223. The next prime is 10072711237. The reversal of 10072711231 is 13211727001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13211727001 = 11 ⋅1201066091.

It is a cyclic number.

It is not a de Polignac number, because 10072711231 - 2³ = 10072711223 is a prime.

It is a super-2 number, since 2×10072711231² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10072711196 and 10072711205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072711237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 457850500 + ... + 457850521.

It is an arithmetic number, because the mean of its divisors is an integer number (2747103066).

Almost surely, 2^10072711231 is an apocalyptic number.

10072711231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10072711231 is a deficient number, since it is larger than the sum of its proper divisors (915701033).

10072711231 is an equidigital number, since it uses as much as digits as its factorization.

10072711231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915701032.

The product of its (nonzero) digits is 588, while the sum is 25.

The spelling of 10072711231 in words is "ten billion, seventy-two million, seven hundred eleven thousand, two hundred thirty-one".