103122211311131 has 8 divisors (see below), whose sum is σ = 109857523782720. Its totient is φ = 96517681606152.

The previous prime is 103122211311103. The next prime is 103122211311143. The reversal of 103122211311131 is 131113112221301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103122211311131 - 2¹⁴ = 103122211294747 is a prime.

It is a super-3 number, since 3×103122211311131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103122211311097 and 103122211311106.

It is not an unprimeable number, because it can be changed into a prime (103122211311181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32695690025 + ... + 32695693178.

It is an arithmetic number, because the mean of its divisors is an integer number (13732190472840).

Almost surely, 2^{103122211311131} is an apocalyptic number.

103122211311131 is a deficient number, since it is larger than the sum of its proper divisors (6735312471589).

103122211311131 is an equidigital number, since it uses as much as digits as its factorization.

103122211311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65391383305.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 103122211311131 its reverse (131113112221301), we get a palindrome (234235323532432).

The spelling of 103122211311131 in words is "one hundred three trillion, one hundred twenty-two billion, two hundred eleven million, three hundred eleven thousand, one hundred thirty-one".