201321113313131 has 16 divisors (see below), whose sum is σ = 230668372661760. Its totient is φ = 172120981466880.

The previous prime is 201321113313127. The next prime is 201321113313143. The reversal of 201321113313131 is 131313311123102.

It is a cyclic number.

It is not a de Polignac number, because 201321113313131 - 2² = 201321113313127 is a prime.

It is a super-2 number, since 2×201321113313131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201321113313131.

It is not an unprimeable number, because it can be changed into a prime (201321113313161) 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, 7827686 + ... + 21538683.

It is an arithmetic number, because the mean of its divisors is an integer number (14416773291360).

Almost surely, 2^{201321113313131} is an apocalyptic number.

201321113313131 is a deficient number, since it is larger than the sum of its proper divisors (29347259348629).

201321113313131 is a wasteful number, since it uses less digits than its factorization.

201321113313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29368874.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 201321113313131 its reverse (131313311123102), we get a palindrome (332634424436233).

The spelling of 201321113313131 in words is "two hundred one trillion, three hundred twenty-one billion, one hundred thirteen million, three hundred thirteen thousand, one hundred thirty-one".