102003323133231 has 12 divisors (see below), whose sum is σ = 158671835985208. Its totient is φ = 62771275774224.

The previous prime is 102003323133211. The next prime is 102003323133301. The reversal of 102003323133231 is 132331323300201.

102003323133231 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 3 + 323 + 1 + 332 + 3 + 1 = 666.

It is not a de Polignac number, because 102003323133231 - 2¹⁴ = 102003323116847 is a prime.

It is a super-2 number, since 2×102003323133231² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102003323133195 and 102003323133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003323133211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435911637205 + ... + 435911637438.

Almost surely, 2^{102003323133231} is an apocalyptic number.

102003323133231 is a deficient number, since it is larger than the sum of its proper divisors (56668512851977).

102003323133231 is a wasteful number, since it uses less digits than its factorization.

102003323133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871823274662 (or 871823274659 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 102003323133231 its reverse (132331323300201), we get a palindrome (234334646433432).

The spelling of 102003323133231 in words is "one hundred two trillion, three billion, three hundred twenty-three million, one hundred thirty-three thousand, two hundred thirty-one".