13101351642 has 80 divisors (see below), whose sum is σ = 30640983912. Its totient is φ = 4180101120.

The previous prime is 13101351629. The next prime is 13101351647. The reversal of 13101351642 is 24615310131.

It is a happy number.

13101351642 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 13 + 5 + 1 + 642 = 666.

13101351642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9051429321 + 4049922321 = 95139^2 + 63639^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13101351647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 333418 + ... + 370634.

Almost surely, 2^13101351642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101351642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320491956).

13101351642 is an abundant number, since it is smaller than the sum of its proper divisors (17539632270).

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

13101351642 is a wasteful number, since it uses less digits than its factorization.

13101351642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37325 (or 37316 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13101351642 its reverse (24615310131), we get a palindrome (37716661773).

The spelling of 13101351642 in words is "thirteen billion, one hundred one million, three hundred fifty-one thousand, six hundred forty-two".