10013131122219 has 24 divisors (see below), whose sum is σ = 15579102569472. Its totient is φ = 6179211347760.

The previous prime is 10013131122199. The next prime is 10013131122223. The reversal of 10013131122219 is 91222113131001.

10013131122219 is a `hidden beast` number, since 1 + 0 + 0 + 131 + 311 + 2 + 2 + 219 = 666.

It is not a de Polignac number, because 10013131122219 - 2²³ = 10013122733611 is a prime.

It is a super-2 number, since 2×10013131122219² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10013131122192 and 10013131122201.

It is not an unprimeable number, because it can be changed into a prime (10013131122289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780197037 + ... + 780209870.

It is an arithmetic number, because the mean of its divisors is an integer number (649129273728).

Almost surely, 2^{10013131122219} is an apocalyptic number.

10013131122219 is a deficient number, since it is larger than the sum of its proper divisors (5565971447253).

10013131122219 is a wasteful number, since it uses less digits than its factorization.

10013131122219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560406967 (or 1560406964 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10013131122219 in words is "ten trillion, thirteen billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred nineteen".