103201121331 has 64 divisors (see below), whose sum is σ = 191831516160. Its totient is φ = 53269332480.

The previous prime is 103201121293. The next prime is 103201121341. The reversal of 103201121331 is 133121102301.

103201121331 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 12 + 1 + 331 = 666.

It is not a de Polignac number, because 103201121331 - 2²² = 103196927027 is a prime.

It is a super-2 number, since 2×103201121331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103201121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168315 + ... + 484491.

It is an arithmetic number, because the mean of its divisors is an integer number (2997367440).

Almost surely, 2^103201121331 is an apocalyptic number.

103201121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103201121331 is a deficient number, since it is larger than the sum of its proper divisors (88630394829).

103201121331 is a wasteful number, since it uses less digits than its factorization.

103201121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316361 (or 316355 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103201121331 its reverse (133121102301), we get a palindrome (236322223632).

The spelling of 103201121331 in words is "one hundred three billion, two hundred one million, one hundred twenty-one thousand, three hundred thirty-one".