103213132033 has 48 divisors (see below), whose sum is σ = 123730609536. Its totient is φ = 85295566080.

The previous prime is 103213132003. The next prime is 103213132039. The reversal of 103213132033 is 330231312301.

It is not a de Polignac number, because 103213132033 - 2²¹ = 103211034881 is a prime.

It is a super-2 number, since 2×103213132033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103213131995 and 103213132013.

It is not an unprimeable number, because it can be changed into a prime (103213132039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10720860 + ... + 10730482.

It is an arithmetic number, because the mean of its divisors is an integer number (2577721032).

Almost surely, 2^103213132033 is an apocalyptic number.

It is an amenable number.

103213132033 is a deficient number, since it is larger than the sum of its proper divisors (20517477503).

103213132033 is a wasteful number, since it uses less digits than its factorization.

103213132033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9782 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103213132033 its reverse (330231312301), we get a palindrome (433444444334).

The spelling of 103213132033 in words is "one hundred three billion, two hundred thirteen million, one hundred thirty-two thousand, thirty-three".