72302133123013 has 16 divisors (see below), whose sum is σ = 76623570777600. Its totient is φ = 68033822022000.

The previous prime is 72302133122983. The next prime is 72302133123043. The reversal of 72302133123013 is 31032133120327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72302133122983) and next prime (72302133123043).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72302133123013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72302133123043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19403331 + ... + 22827472.

It is an arithmetic number, because the mean of its divisors is an integer number (4788973173600).

Almost surely, 2^{72302133123013} is an apocalyptic number.

It is an amenable number.

72302133123013 is a deficient number, since it is larger than the sum of its proper divisors (4321437654587).

72302133123013 is a wasteful number, since it uses less digits than its factorization.

72302133123013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42231432.

The product of its (nonzero) digits is 13608, while the sum is 31.

The spelling of 72302133123013 in words is "seventy-two trillion, three hundred two billion, one hundred thirty-three million, one hundred twenty-three thousand, thirteen".