131101313033 has 16 divisors (see below), whose sum is σ = 143248093440. Its totient is φ = 119565849600.

The previous prime is 131101312967. The next prime is 131101313039. The reversal of 131101313033 is 330313101131.

It is a cyclic number.

It is not a de Polignac number, because 131101313033 - 2¹⁴ = 131101296649 is a prime.

It is a super-3 number, since 3×131101313033³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131101312996 and 131101313014.

It is not an unprimeable number, because it can be changed into a prime (131101313039) 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 15 ways as a sum of consecutive naturals, for example, 1148888 + ... + 1257833.

It is an arithmetic number, because the mean of its divisors is an integer number (8953005840).

Almost surely, 2^131101313033 is an apocalyptic number.

It is an amenable number.

131101313033 is a deficient number, since it is larger than the sum of its proper divisors (12146780407).

131101313033 is a wasteful number, since it uses less digits than its factorization.

131101313033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406848.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 131101313033 its reverse (330313101131), we get a palindrome (461414414164).

The spelling of 131101313033 in words is "one hundred thirty-one billion, one hundred one million, three hundred thirteen thousand, thirty-three".