133302220110100 has 72 divisors (see below), whose sum is σ = 309971592298368. Its totient is φ = 49579734259200.

The previous prime is 133302220110067. The next prime is 133302220110113. The reversal of 133302220110100 is 1011022203331.

It is a super-2 number, since 2×133302220110100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472226796 + ... + 472508995.

It is an arithmetic number, because the mean of its divisors is an integer number (4305161004144).

Almost surely, 2^{133302220110100} is an apocalyptic number.

133302220110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133302220110100 is an abundant number, since it is smaller than the sum of its proper divisors (176669372188268).

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

133302220110100 is a wasteful number, since it uses less digits than its factorization.

133302220110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944735905 (or 944735898 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 133302220110100 its reverse (1011022203331), we get a palindrome (134313242313431).

The spelling of 133302220110100 in words is "one hundred thirty-three trillion, three hundred two billion, two hundred twenty million, one hundred ten thousand, one hundred".