10002331113331 has 32 divisors (see below), whose sum is σ = 10612525017600. Its totient is φ = 9400877418240.

The previous prime is 10002331113329. The next prime is 10002331113337. The reversal of 10002331113331 is 13331113320001.

10002331113331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10002331113331 - 2¹ = 10002331113329 is a prime.

It is a super-2 number, since 2×10002331113331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002331113337) 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, 1768130655 + ... + 1768136311.

It is an arithmetic number, because the mean of its divisors is an integer number (331641406800).

Almost surely, 2^{10002331113331} is an apocalyptic number.

10002331113331 is a deficient number, since it is larger than the sum of its proper divisors (610193904269).

10002331113331 is a wasteful number, since it uses less digits than its factorization.

10002331113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10002331113331 its reverse (13331113320001), we get a palindrome (23333444433332).

The spelling of 10002331113331 in words is "ten trillion, two billion, three hundred thirty-one million, one hundred thirteen thousand, three hundred thirty-one".