133100001331 has 16 divisors (see below), whose sum is σ = 155011792608. Its totient is φ = 113882334720.

The previous prime is 133100001311. The next prime is 133100001341.

133100001331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133100001331 - 2¹¹ = 133099999283 is a prime.

It is a super-2 number, since 2×133100001331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133100001301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2918550 + ... + 2963803.

It is an arithmetic number, because the mean of its divisors is an integer number (9688237038).

Almost surely, 2^133100001331 is an apocalyptic number.

133100001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133100001331 is a deficient number, since it is larger than the sum of its proper divisors (21911791277).

133100001331 is an equidigital number, since it uses as much as digits as its factorization.

133100001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882403 (or 5882381 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 13310000 and 1331, that multiplied together give a square (17715610000 = 133100²).

The spelling of 133100001331 in words is "one hundred thirty-three billion, one hundred million, one thousand, three hundred thirty-one".