102201131003313 has 16 divisors (see below), whose sum is σ = 144285187213440. Its totient is φ = 64125649817856.

The previous prime is 102201131003299. The next prime is 102201131003401. The reversal of 102201131003313 is 313300131102201.

It is a happy number.

It is not a de Polignac number, because 102201131003313 - 2⁴ = 102201131003297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102201131003313.

It is not an unprimeable number, because it can be changed into a prime (102201131043313) 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, 2548645 + ... + 14522322.

It is an arithmetic number, because the mean of its divisors is an integer number (9017824200840).

Almost surely, 2^{102201131003313} is an apocalyptic number.

It is an amenable number.

102201131003313 is a deficient number, since it is larger than the sum of its proper divisors (42084056210127).

102201131003313 is a wasteful number, since it uses less digits than its factorization.

102201131003313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17188376.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102201131003313 its reverse (313300131102201), we get a palindrome (415501262105514).

The spelling of 102201131003313 in words is "one hundred two trillion, two hundred one billion, one hundred thirty-one million, three thousand, three hundred thirteen".