103313212022133 has 32 divisors (see below), whose sum is σ = 159730944122880. Its totient is φ = 65872763201520.

The previous prime is 103313212022129. The next prime is 103313212022143. The reversal of 103313212022133 is 331220212313301.

103313212022133 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 321 + 202 + 2 + 133 = 666.

It is not a de Polignac number, because 103313212022133 - 2² = 103313212022129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103313212022097 and 103313212022106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313212022143) 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 31 ways as a sum of consecutive naturals, for example, 5218641 + ... + 15292502.

It is an arithmetic number, because the mean of its divisors is an integer number (4991592003840).

Almost surely, 2^{103313212022133} is an apocalyptic number.

It is an amenable number.

103313212022133 is a deficient number, since it is larger than the sum of its proper divisors (56417732100747).

103313212022133 is a wasteful number, since it uses less digits than its factorization.

103313212022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20519286 (or 20519280 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103313212022133 its reverse (331220212313301), we get a palindrome (434533424335434).

The spelling of 103313212022133 in words is "one hundred three trillion, three hundred thirteen billion, two hundred twelve million, twenty-two thousand, one hundred thirty-three".