217115700131 has 32 divisors (see below), whose sum is σ = 240236928000. Its totient is φ = 194585086080.

The previous prime is 217115700103. The next prime is 217115700163. The reversal of 217115700131 is 131007511712.

217115700131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-217115700131 is a prime.

It is a super-2 number, since 2×217115700131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 217115700094 and 217115700103.

It is not an unprimeable number, because it can be changed into a prime (217115700731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135951425 + ... + 135953021.

It is an arithmetic number, because the mean of its divisors is an integer number (7507404000).

Almost surely, 2^217115700131 is an apocalyptic number.

217115700131 is a deficient number, since it is larger than the sum of its proper divisors (23121227869).

217115700131 is a wasteful number, since it uses less digits than its factorization.

217115700131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339.

The product of its (nonzero) digits is 1470, while the sum is 29.

The spelling of 217115700131 in words is "two hundred seventeen billion, one hundred fifteen million, seven hundred thousand, one hundred thirty-one".