101133401121341 has 16 divisors (see below), whose sum is σ = 107152147263744. Its totient is φ = 95122411617024.

The previous prime is 101133401121331. The next prime is 101133401121359. The reversal of 101133401121341 is 143121104331101.

It is a happy number.

It is not a de Polignac number, because 101133401121341 - 2³⁴ = 101116221252157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101133401121341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133401121331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349250171 + ... + 349539623.

It is an arithmetic number, because the mean of its divisors is an integer number (6697009203984).

Almost surely, 2^{101133401121341} is an apocalyptic number.

It is an amenable number.

101133401121341 is a deficient number, since it is larger than the sum of its proper divisors (6018746142403).

101133401121341 is a wasteful number, since it uses less digits than its factorization.

101133401121341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302780.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 101133401121341 its reverse (143121104331101), we get a palindrome (244254505452442).

The spelling of 101133401121341 in words is "one hundred one trillion, one hundred thirty-three billion, four hundred one million, one hundred twenty-one thousand, three hundred forty-one".