10100031323313 has 8 divisors (see below), whose sum is σ = 13830673523968. Its totient is φ = 6551371669104.

The previous prime is 10100031323201. The next prime is 10100031323321. The reversal of 10100031323313 is 31332313000101.

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

It is not a de Polignac number, because 10100031323313 - 2²⁹ = 10099494452401 is a prime.

It is a super-3 number, since 3×10100031323313³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100031323313.

It is not an unprimeable number, because it can be changed into a prime (10100031323363) 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, 45495636481 + ... + 45495636702.

It is an arithmetic number, because the mean of its divisors is an integer number (1728834190496).

Almost surely, 2^{10100031323313} is an apocalyptic number.

It is an amenable number.

10100031323313 is a deficient number, since it is larger than the sum of its proper divisors (3730642200655).

10100031323313 is an equidigital number, since it uses as much as digits as its factorization.

10100031323313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90991273223.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10100031323313 its reverse (31332313000101), we get a palindrome (41432344323414).

The spelling of 10100031323313 in words is "ten trillion, one hundred billion, thirty-one million, three hundred twenty-three thousand, three hundred thirteen".