10040002210319 has 2 divisors, whose sum is σ = 10040002210320. Its totient is φ = 10040002210318.

The previous prime is 10040002210291. The next prime is 10040002210339. The reversal of 10040002210319 is 91301220004001.

10040002210319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10040002210319 is a prime.

It is a super-4 number, since 4×10040002210319⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10040002210294 and 10040002210303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10040002210339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020001105159 + 5020001105160.

It is an arithmetic number, because the mean of its divisors is an integer number (5020001105160).

Almost surely, 2^{10040002210319} is an apocalyptic number.

10040002210319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10040002210319 is an equidigital number, since it uses as much as digits as its factorization.

10040002210319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 10040002210319 in words is "ten trillion, forty billion, two million, two hundred ten thousand, three hundred nineteen".