133213302301100 has 144 divisors (see below), whose sum is σ = 352947234097920. Its totient is φ = 42623472672000.

The previous prime is 133213302301091. The next prime is 133213302301109. The reversal of 133213302301100 is 1103203312331.

133213302301100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133213302301091) and next prime (133213302301109).

It is a super-2 number, since 2×133213302301100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133213302301109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73855451 + ... + 75637650.

Almost surely, 2^{133213302301100} is an apocalyptic number.

133213302301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133213302301100 is an abundant number, since it is smaller than the sum of its proper divisors (219733931796820).

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

133213302301100 is a wasteful number, since it uses less digits than its factorization.

133213302301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149493208 (or 149493201 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 133213302301100 its reverse (1103203312331), we get a palindrome (134316505613431).

The spelling of 133213302301100 in words is "one hundred thirty-three trillion, two hundred thirteen billion, three hundred two million, three hundred one thousand, one hundred".