137772021715213 has 2 divisors, whose sum is σ = 137772021715214. Its totient is φ = 137772021715212.

The previous prime is 137772021715147. The next prime is 137772021715259. The reversal of 137772021715213 is 312517120277731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117576677785284 + 20195343929929 = 10843278^2 + 4493923^2 .

It is a cyclic number.

It is not a de Polignac number, because 137772021715213 - 2²¹ = 137772019618061 is a prime.

It is a super-2 number, since 2×137772021715213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137772021715283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68886010857606 + 68886010857607.

It is an arithmetic number, because the mean of its divisors is an integer number (68886010857607).

Almost surely, 2^{137772021715213} is an apocalyptic number.

It is an amenable number.

137772021715213 is a deficient number, since it is larger than the sum of its proper divisors (1).

137772021715213 is an equidigital number, since it uses as much as digits as its factorization.

137772021715213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864360, while the sum is 49.

The spelling of 137772021715213 in words is "one hundred thirty-seven trillion, seven hundred seventy-two billion, twenty-one million, seven hundred fifteen thousand, two hundred thirteen".