13122101142 has 64 divisors (see below), whose sum is σ = 29745144000. Its totient is φ = 4286490624.

The previous prime is 13122101131. The next prime is 13122101143. The reversal of 13122101142 is 24110122131.

13122101142 is a `hidden beast` number, since 1 + 312 + 210 + 1 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122101143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057334 + ... + 3061622.

It is an arithmetic number, because the mean of its divisors is an integer number (464767875).

Almost surely, 2^13122101142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122101142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872572000).

13122101142 is an abundant number, since it is smaller than the sum of its proper divisors (16623042858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122101142 is a wasteful number, since it uses less digits than its factorization.

13122101142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5422 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13122101142 its reverse (24110122131), we get a palindrome (37232223273).

The spelling of 13122101142 in words is "thirteen billion, one hundred twenty-two million, one hundred one thousand, one hundred forty-two".