101011122413343 has 48 divisors (see below), whose sum is σ = 149482950669312. Its totient is φ = 65707153344000.

The previous prime is 101011122413339. The next prime is 101011122413353. The reversal of 101011122413343 is 343314221110101.

101011122413343 is a `hidden beast` number, since 1 + 0 + 101 + 1 + 1 + 224 + 1 + 334 + 3 = 666.

It is not a de Polignac number, because 101011122413343 - 2² = 101011122413339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011122413353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594024673 + ... + 594194693.

It is an arithmetic number, because the mean of its divisors is an integer number (3114228138944).

Almost surely, 2^{101011122413343} is an apocalyptic number.

101011122413343 is a deficient number, since it is larger than the sum of its proper divisors (48471828255969).

101011122413343 is a wasteful number, since it uses less digits than its factorization.

101011122413343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178736 (or 178733 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101011122413343 its reverse (343314221110101), we get a palindrome (444325343523444).

The spelling of 101011122413343 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, four hundred thirteen thousand, three hundred forty-three".