131011121033 has 8 divisors (see below), whose sum is σ = 144902113608. Its totient is φ = 117664873344.

The previous prime is 131011121029. The next prime is 131011121063. The reversal of 131011121033 is 330121110131.

It can be written as a sum of positive squares in 4 ways, for example, as 3249912064 + 127761208969 = 57008^2 + 357437^2 .

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

It is not a de Polignac number, because 131011121033 - 2² = 131011121029 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131011121063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136185716 + ... + 136186677.

It is an arithmetic number, because the mean of its divisors is an integer number (18112764201).

Almost surely, 2^131011121033 is an apocalyptic number.

131011121033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131011121033 is a deficient number, since it is larger than the sum of its proper divisors (13890992575).

131011121033 is a wasteful number, since it uses less digits than its factorization.

131011121033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272372443.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131011121033 its reverse (330121110131), we get a palindrome (461132231164).

The spelling of 131011121033 in words is "one hundred thirty-one billion, eleven million, one hundred twenty-one thousand, thirty-three".