10001313119 has 48 divisors (see below), whose sum is σ = 12428881920. Its totient is φ = 8001504000.

The previous prime is 10001313109. The next prime is 10001313121. The reversal of 10001313119 is 91131310001.

It is not a de Polignac number, because 10001313119 - 2²⁴ = 9984535903 is a prime.

It is a super-2 number, since 2×10001313119² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10001313119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001313109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29677319 + ... + 29677655.

It is an arithmetic number, because the mean of its divisors is an integer number (258935040).

Almost surely, 2^10001313119 is an apocalyptic number.

10001313119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10001313119 is a deficient number, since it is larger than the sum of its proper divisors (2427568801).

10001313119 is a wasteful number, since it uses less digits than its factorization.

10001313119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

The spelling of 10001313119 in words is "ten billion, one million, three hundred thirteen thousand, one hundred nineteen".