101232131 has 32 divisors (see below), whose sum is σ = 141861888. Its totient is φ = 69632640.

The previous prime is 101232121. The next prime is 101232137. The reversal of 101232131 is 131232101.

It is not a de Polignac number, because 101232131 - 2¹⁴ = 101215747 is a prime.

It is a super-2 number, since 2×101232131² = 20495888693602322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101232137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20825 + ... + 25221.

It is an arithmetic number, because the mean of its divisors is an integer number (4433184).

Almost surely, 2^101232131 is an apocalyptic number.

101232131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101232131 is a deficient number, since it is larger than the sum of its proper divisors (40629757).

101232131 is a wasteful number, since it uses less digits than its factorization.

101232131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101232131 is about 10061.4179418211. The cubic root of 101232131 is about 466.0574554465.

Adding to 101232131 its reverse (131232101), we get a palindrome (232464232).

It can be divided in two parts, 101 and 232131, that added together give a palindrome (232232).

The spelling of 101232131 in words is "one hundred one million, two hundred thirty-two thousand, one hundred thirty-one".