133330012100 has 18 divisors (see below), whose sum is σ = 289326126474. Its totient is φ = 53332004800.

The previous prime is 133330012097. The next prime is 133330012103. The reversal of 133330012100 is 1210033331.

It is an interprime number because it is at equal distance from previous prime (133330012097) and next prime (133330012103).

It can be written as a sum of positive squares in 3 ways, for example, as 186759556 + 133143252544 = 13666^2 + 364888^2 .

It is a super-2 number, since 2×133330012100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133330012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666649961 + ... + 666650160.

It is an arithmetic number, because the mean of its divisors is an integer number (16073673693).

Almost surely, 2^133330012100 is an apocalyptic number.

133330012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133330012100 is an abundant number, since it is smaller than the sum of its proper divisors (155996114374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133330012100 is a wasteful number, since it uses less digits than its factorization.

133330012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333300135 (or 1333300128 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 133330012100 its reverse (1210033331), we get a palindrome (134540045431).

The spelling of 133330012100 in words is "one hundred thirty-three billion, three hundred thirty million, twelve thousand, one hundred".