101412444133 has 36 divisors (see below), whose sum is σ = 139643687820. Its totient is φ = 72943960320.

The previous prime is 101412444109. The next prime is 101412444137. The reversal of 101412444133 is 331444214101.

It can be written as a sum of positive squares in 2 ways, for example, as 59429663524 + 41982780609 = 243782^2 + 204897^2 .

It is not a de Polignac number, because 101412444133 - 2⁵ = 101412444101 is a prime.

It is a super-2 number, since 2×101412444133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412444137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 580788 + ... + 734941.

Almost surely, 2^101412444133 is an apocalyptic number.

101412444133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101412444133 is a deficient number, since it is larger than the sum of its proper divisors (38231243687).

101412444133 is a wasteful number, since it uses less digits than its factorization.

101412444133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315778 (or 1315760 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101412444133 its reverse (331444214101), we get a palindrome (432856658234).

It can be divided in two parts, 101412 and 444133, that added together give a palindrome (545545).

The spelling of 101412444133 in words is "one hundred one billion, four hundred twelve million, four hundred forty-four thousand, one hundred thirty-three".