101301214044131 has 8 divisors (see below), whose sum is σ = 101663733057744. Its totient is φ = 100939181309280.

The previous prime is 101301214044097. The next prime is 101301214044133. The reversal of 101301214044131 is 131440412103101.

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

It is a cyclic number.

It is not a de Polignac number, because 101301214044131 - 2¹⁸ = 101301213781987 is a prime.

It is a super-2 number, since 2×101301214044131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101301214044131.

It is not an unprimeable number, because it can be changed into a prime (101301214044133) 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, 121152305 + ... + 121985586.

It is an arithmetic number, because the mean of its divisors is an integer number (12707966632218).

Almost surely, 2^{101301214044131} is an apocalyptic number.

101301214044131 is a deficient number, since it is larger than the sum of its proper divisors (362519013613).

101301214044131 is a wasteful number, since it uses less digits than its factorization.

101301214044131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243139381.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 101301214044131 its reverse (131440412103101), we get a palindrome (232741626147232).

The spelling of 101301214044131 in words is "one hundred one trillion, three hundred one billion, two hundred fourteen million, forty-four thousand, one hundred thirty-one".