13134220666290 has 256 divisors, whose sum is σ = 37492761024000. Its totient is φ = 3261948641280.

The previous prime is 13134220666289. The next prime is 13134220666321. The reversal of 13134220666290 is 9266602243131.

13134220666290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 631169406 + ... + 631190214.

It is an arithmetic number, because the mean of its divisors is an integer number (146456097750).

Almost surely, 2^{13134220666290} is an apocalyptic number.

13134220666290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134220666290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746380512000).

13134220666290 is an abundant number, since it is smaller than the sum of its proper divisors (24358540357710).

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

13134220666290 is a wasteful number, since it uses less digits than its factorization.

13134220666290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22922 (or 22916 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13134220666290 in words is "thirteen trillion, one hundred thirty-four billion, two hundred twenty million, six hundred sixty-six thousand, two hundred ninety".