4201037731117 has 2 divisors, whose sum is σ = 4201037731118. Its totient is φ = 4201037731116.

The previous prime is 4201037731091. The next prime is 4201037731147. The reversal of 4201037731117 is 7111377301024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3922859545641 + 278178185476 = 1980621^2 + 527426^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4201037731117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4201037731147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2100518865558 + 2100518865559.

It is an arithmetic number, because the mean of its divisors is an integer number (2100518865559).

Almost surely, 2^{4201037731117} is an apocalyptic number.

It is an amenable number.

4201037731117 is a deficient number, since it is larger than the sum of its proper divisors (1).

4201037731117 is an equidigital number, since it uses as much as digits as its factorization.

4201037731117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 4201037731117 in words is "four trillion, two hundred one billion, thirty-seven million, seven hundred thirty-one thousand, one hundred seventeen".