10190908419013 has 24 divisors (see below), whose sum is σ = 12074182721280. Its totient is φ = 8574640794720.

The previous prime is 10190908418969. The next prime is 10190908419047. The reversal of 10190908419013 is 31091480909101.

10190908419013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10190908419013 - 2⁹ = 10190908418501 is a prime.

It is a super-2 number, since 2×10190908419013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190908419053) 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, 6939073 + ... + 8278438.

It is an arithmetic number, because the mean of its divisors is an integer number (503090946720).

Almost surely, 2^{10190908419013} is an apocalyptic number.

It is an amenable number.

10190908419013 is a deficient number, since it is larger than the sum of its proper divisors (1883274302267).

10190908419013 is a wasteful number, since it uses less digits than its factorization.

10190908419013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15217777 (or 15217770 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 46.

It can be divided in two parts, 10190908 and 419013, that added together give a triangular number (10609921 = T₄₆₀₆).

The spelling of 10190908419013 in words is "ten trillion, one hundred ninety billion, nine hundred eight million, four hundred nineteen thousand, thirteen".