101334121431 has 8 divisors (see below), whose sum is σ = 135121653744. Its totient is φ = 67551335040.

The previous prime is 101334121403. The next prime is 101334121457. The reversal of 101334121431 is 134121433101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101334121431 - 2²⁵ = 101300566999 is a prime.

It is a super-2 number, since 2×101334121431² (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 (101334121831) 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 7 ways as a sum of consecutive naturals, for example, 1136356 + ... + 1222281.

It is an arithmetic number, because the mean of its divisors is an integer number (16890206718).

Almost surely, 2^101334121431 is an apocalyptic number.

101334121431 is a deficient number, since it is larger than the sum of its proper divisors (33787532313).

101334121431 is a wasteful number, since it uses less digits than its factorization.

101334121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372961.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101334121431 its reverse (134121433101), we get a palindrome (235455554532).

The spelling of 101334121431 in words is "one hundred one billion, three hundred thirty-four million, one hundred twenty-one thousand, four hundred thirty-one".