191322813138601 has 9 divisors (see below), whose sum is σ = 194221938661149. Its totient is φ = 188466335854764.

The previous prime is 191322813138547. The next prime is 191322813138637. The reversal of 191322813138601 is 106831318223191.

The square root of 191322813138601 is 13831949.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 191322813138601 - 2⁷ = 191322813138473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191322813132601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 926637360 + ... + 926843806.

Almost surely, 2^{191322813138601} is an apocalyptic number.

191322813138601 is the 13831949-th square number.

191322813138601 is the 6915975-th centered octagonal number.

It is an amenable number.

191322813138601 is a deficient number, since it is larger than the sum of its proper divisors (2899125522548).

191322813138601 is an frugal number, since it uses more digits than its factorization.

191322813138601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413028 (or 206514 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 191322813138601 in words is "one hundred ninety-one trillion, three hundred twenty-two billion, eight hundred thirteen million, one hundred thirty-eight thousand, six hundred one".