102003322113131 has 16 divisors (see below), whose sum is σ = 106598319024384. Its totient is φ = 97421672091744.

The previous prime is 102003322113079. The next prime is 102003322113137. The reversal of 102003322113131 is 131311223300201.

It is a cyclic number.

It is not a de Polignac number, because 102003322113131 - 2¹⁴ = 102003322096747 is a prime.

It is a super-2 number, since 2×102003322113131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102003322113097 and 102003322113106.

It is not an unprimeable number, because it can be changed into a prime (102003322113137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843311600 + ... + 843432546.

It is an arithmetic number, because the mean of its divisors is an integer number (6662394939024).

Almost surely, 2^{102003322113131} is an apocalyptic number.

102003322113131 is a deficient number, since it is larger than the sum of its proper divisors (4594996911253).

102003322113131 is a wasteful number, since it uses less digits than its factorization.

102003322113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175810.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102003322113131 its reverse (131311223300201), we get a palindrome (233314545413332).

The spelling of 102003322113131 in words is "one hundred two trillion, three billion, three hundred twenty-two million, one hundred thirteen thousand, one hundred thirty-one".