103100331031033 has 16 divisors (see below), whose sum is σ = 118446748729344. Its totient is φ = 87908370060240.

The previous prime is 103100331031001. The next prime is 103100331031057. The reversal of 103100331031033 is 330130133001301.

It is a cyclic number.

It is not a de Polignac number, because 103100331031033 - 2⁵ = 103100331031001 is a prime.

It is a super-2 number, since 2×103100331031033² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103100331030995 and 103100331031013.

It is not an unprimeable number, because it can be changed into a prime (103100331031133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273050016 + ... + 273427342.

It is an arithmetic number, because the mean of its divisors is an integer number (7402921795584).

Almost surely, 2^{103100331031033} is an apocalyptic number.

It is an amenable number.

103100331031033 is a deficient number, since it is larger than the sum of its proper divisors (15346417698311).

103100331031033 is a wasteful number, since it uses less digits than its factorization.

103100331031033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581892.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 103100331031033 its reverse (330130133001301), we get a palindrome (433230464032334).

The spelling of 103100331031033 in words is "one hundred three trillion, one hundred billion, three hundred thirty-one million, thirty-one thousand, thirty-three".