133210012331 has 32 divisors (see below), whose sum is σ = 149700096000. Its totient is φ = 117484992000.

The previous prime is 133210012289. The next prime is 133210012349.

133210012331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133210012331 is a prime.

It is a super-4 number, since 4×133210012331⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133210012531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126987095 + ... + 126988143.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128000).

Almost surely, 2^133210012331 is an apocalyptic number.

133210012331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133210012331 is a deficient number, since it is larger than the sum of its proper divisors (16490083669).

133210012331 is a wasteful number, since it uses less digits than its factorization.

133210012331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1332100 and 12331, that added together give a palindrome (1344431).

The spelling of 133210012331 in words is "one hundred thirty-three billion, two hundred ten million, twelve thousand, three hundred thirty-one".