101331220133 has 32 divisors (see below), whose sum is σ = 119948005632. Its totient is φ = 84390336000.

The previous prime is 101331220127. The next prime is 101331220171. The reversal of 101331220133 is 331022133101.

It is a cyclic number.

It is not a de Polignac number, because 101331220133 - 2¹⁴ = 101331203749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331220103) 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, 37851191 + ... + 37853867.

It is an arithmetic number, because the mean of its divisors is an integer number (3748375176).

Almost surely, 2^101331220133 is an apocalyptic number.

101331220133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101331220133 is a deficient number, since it is larger than the sum of its proper divisors (18616785499).

101331220133 is a wasteful number, since it uses less digits than its factorization.

101331220133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605.

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

Adding to 101331220133 its reverse (331022133101), we get a palindrome (432353353234).

The spelling of 101331220133 in words is "one hundred one billion, three hundred thirty-one million, two hundred twenty thousand, one hundred thirty-three".