10132010031 has 64 divisors (see below), whose sum is σ = 16123193856. Its totient is φ = 5578944000.

The previous prime is 10132010029. The next prime is 10132010041. The reversal of 10132010031 is 13001023101.

It is not a de Polignac number, because 10132010031 - 2¹ = 10132010029 is a prime.

It is a super-2 number, since 2×10132010031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132009989 and 10132010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8535220 + ... + 8536406.

It is an arithmetic number, because the mean of its divisors is an integer number (251924904).

Almost surely, 2^10132010031 is an apocalyptic number.

10132010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10132010031 is a deficient number, since it is larger than the sum of its proper divisors (5991183825).

10132010031 is a wasteful number, since it uses less digits than its factorization.

10132010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10132010031 its reverse (13001023101), we get a palindrome (23133033132).

The spelling of 10132010031 in words is "ten billion, one hundred thirty-two million, ten thousand, thirty-one".