10042211101311 has 20 divisors (see below), whose sum is σ = 15169881949200. Its totient is φ = 6619584841056.

The previous prime is 10042211101303. The next prime is 10042211101357. The reversal of 10042211101311 is 11310111224001.

10042211101311 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 211 + 101 + 311 = 666.

10042211101311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042211101311 - 2³ = 10042211101303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042211101361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 696497931 + ... + 696512348.

It is an arithmetic number, because the mean of its divisors is an integer number (758494097460).

Almost surely, 2^{10042211101311} is an apocalyptic number.

10042211101311 is a deficient number, since it is larger than the sum of its proper divisors (5127670847889).

10042211101311 is an equidigital number, since it uses as much as digits as its factorization.

10042211101311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393010380 (or 1393010371 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10042211101311 its reverse (11310111224001), we get a palindrome (21352322325312).

The spelling of 10042211101311 in words is "ten trillion, forty-two billion, two hundred eleven million, one hundred one thousand, three hundred eleven".