13105435022190 has 96 divisors (see below), whose sum is σ = 40991435896320. Its totient is φ = 2837868633792.

The previous prime is 13105435022179. The next prime is 13105435022191. The reversal of 13105435022190 is 9122053450131.

It is a happy number.

13105435022190 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 43 + 502 + 21 + 90 = 666.

It is a super-2 number, since 2×13105435022190² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105435022191) 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, 547416394 + ... + 547440333.

It is an arithmetic number, because the mean of its divisors is an integer number (426994123920).

Almost surely, 2^{13105435022190} is an apocalyptic number.

13105435022190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13105435022190 is an abundant number, since it is smaller than the sum of its proper divisors (27886000874130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13105435022190 is a wasteful number, since it uses less digits than its factorization.

13105435022190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094856766 (or 1094856763 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13105435022190 in words is "thirteen trillion, one hundred five billion, four hundred thirty-five million, twenty-two thousand, one hundred ninety".