10013312221319 has 32 divisors (see below), whose sum is σ = 11584533496320. Its totient is φ = 8559507600000.

The previous prime is 10013312221313. The next prime is 10013312221327. The reversal of 10013312221319 is 91312221331001.

It is not a de Polignac number, because 10013312221319 - 2¹⁶ = 10013312155783 is a prime.

It is a super-2 number, since 2×10013312221319² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10013312221291 and 10013312221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013312221313) 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, 37136849 + ... + 37405509.

It is an arithmetic number, because the mean of its divisors is an integer number (362016671760).

Almost surely, 2^{10013312221319} is an apocalyptic number.

10013312221319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10013312221319 is a deficient number, since it is larger than the sum of its proper divisors (1571221275001).

10013312221319 is a wasteful number, since it uses less digits than its factorization.

10013312221319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270023.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 10013312221319 in words is "ten trillion, thirteen billion, three hundred twelve million, two hundred twenty-one thousand, three hundred nineteen".