1001322123131 has 8 divisors (see below), whose sum is σ = 1110865838400. Its totient is φ = 894864146440.

The previous prime is 1001322123079. The next prime is 1001322123187. The reversal of 1001322123131 is 1313212231001.

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 1001322123131 - 2³⁸ = 726444216187 is a prime.

It is a super-2 number, since 2×1001322123131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001322123331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771433961 + ... + 771435258.

It is an arithmetic number, because the mean of its divisors is an integer number (138858229800).

Almost surely, 2^{1001322123131} is an apocalyptic number.

1001322123131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001322123131 is a deficient number, since it is larger than the sum of its proper divisors (109543715269).

1001322123131 is a wasteful number, since it uses less digits than its factorization.

1001322123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542869289.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1001322123131 its reverse (1313212231001), we get a palindrome (2314534354132).

The spelling of 1001322123131 in words is "one trillion, one billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred thirty-one".