10012331133131 has 8 divisors (see below), whose sum is σ = 10029229959840. Its totient is φ = 9995440897728.

The previous prime is 10012331133127. The next prime is 10012331133193. The reversal of 10012331133131 is 13133113321001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10012331133131 - 2² = 10012331133127 is a prime.

It is a super-3 number, since 3×10012331133131³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012331133097 and 10012331133106.

It is not an unprimeable number, because it can be changed into a prime (10012331133121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187085 + ... + 4478801.

It is an arithmetic number, because the mean of its divisors is an integer number (1253653744980).

Almost surely, 2^{10012331133131} is an apocalyptic number.

10012331133131 is a deficient number, since it is larger than the sum of its proper divisors (16898826709).

10012331133131 is an equidigital number, since it uses as much as digits as its factorization.

10012331133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295653.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 10012331133131 its reverse (13133113321001), we get a palindrome (23145444454132).

The spelling of 10012331133131 in words is "ten trillion, twelve billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred thirty-one".