71132131 has 16 divisors (see below), whose sum is σ = 87298560. Its totient is φ = 56568960.

The previous prime is 71132119. The next prime is 71132177. The reversal of 71132131 is 13123117.

It is not a de Polignac number, because 71132131 - 2¹¹ = 71130083 is a prime.

It is a super-2 number, since 2×71132131² = 10119560121202322, 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 = 71132099 and 71132108.

It is not an unprimeable number, because it can be changed into a prime (71132431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4240 + ... + 12658.

It is an arithmetic number, because the mean of its divisors is an integer number (5456160).

Almost surely, 2^71132131 is an apocalyptic number.

71132131 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

71132131 is a deficient number, since it is larger than the sum of its proper divisors (16166429).

71132131 is a wasteful number, since it uses less digits than its factorization.

71132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514.

The product of its digits is 126, while the sum is 19.

The square root of 71132131 is about 8433.9866611230. The cubic root of 71132131 is about 414.3384844903.

Adding to 71132131 its reverse (13123117), we get a palindrome (84255248).

The spelling of 71132131 in words is "seventy-one million, one hundred thirty-two thousand, one hundred thirty-one".