10133431 has 16 divisors (see below), whose sum is σ = 12768768. Its totient is φ = 7812000.

The previous prime is 10133413. The next prime is 10133467. The reversal of 10133431 is 13433101.

It is not a de Polignac number, because 10133431 - 2⁵ = 10133399 is a prime.

It is a super-4 number, since 4×10133431⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133131) 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, 7126 + ... + 8428.

It is an arithmetic number, because the mean of its divisors is an integer number (798048).

Almost surely, 2^10133431 is an apocalyptic number.

10133431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133431 is a deficient number, since it is larger than the sum of its proper divisors (2635337).

10133431 is a wasteful number, since it uses less digits than its factorization.

10133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 10133431 is about 3183.3050435043. The cubic root of 10133431 is about 216.3974663245.

Adding to 10133431 its reverse (13433101), we get a palindrome (23566532).

It can be divided in two parts, 1013 and 3431, that added together give a palindrome (4444).

The spelling of 10133431 in words is "ten million, one hundred thirty-three thousand, four hundred thirty-one".