103311320133231 has 192 divisors, whose sum is σ = 188599638988800. Its totient is φ = 53161992576000.

The previous prime is 103311320133209. The next prime is 103311320133251. The reversal of 103311320133231 is 132331023113301.

103311320133231 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 1 + 320 + 1 + 332 + 3 + 1 = 666.

It is not a de Polignac number, because 103311320133231 - 2¹⁵ = 103311320100463 is a prime.

It is a super-2 number, since 2×103311320133231² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103311320133195 and 103311320133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311320133251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1727670825 + ... + 1727730621.

It is an arithmetic number, because the mean of its divisors is an integer number (982289786400).

Almost surely, 2^{103311320133231} is an apocalyptic number.

103311320133231 is a deficient number, since it is larger than the sum of its proper divisors (85288318855569).

103311320133231 is a wasteful number, since it uses less digits than its factorization.

103311320133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60630 (or 60627 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 103311320133231 its reverse (132331023113301), we get a palindrome (235642343246532).

The spelling of 103311320133231 in words is "one hundred three trillion, three hundred eleven billion, three hundred twenty million, one hundred thirty-three thousand, two hundred thirty-one".