201019498113312 has 144 divisors (see below), whose sum is σ = 574826001822072. Its totient is φ = 66634150625280.

The previous prime is 201019498113311. The next prime is 201019498113337. The reversal of 201019498113312 is 213311894910102.

201019498113312 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 19 + 498 + 1 + 133 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 168642533227536 + 32376964885776 = 12986244^2 + 5690076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (201019498113311) 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, 3141044898 + ... + 3141108894.

Almost surely, 2^{201019498113312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201019498113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287413000911036).

201019498113312 is an abundant number, since it is smaller than the sum of its proper divisors (373806503708760).

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

201019498113312 is a wasteful number, since it uses less digits than its factorization.

201019498113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124451 (or 124440 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 201019498113312 in words is "two hundred one trillion, nineteen billion, four hundred ninety-eight million, one hundred thirteen thousand, three hundred twelve".