42010101112013 has 4 divisors (see below), whose sum is σ = 42381871918428. Its totient is φ = 41638330305600.

The previous prime is 42010101111989. The next prime is 42010101112043. The reversal of 42010101112013 is 31021110101024.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 14615313708004 + 27394787404009 = 3822998^2 + 5234003^2 .

It is a cyclic number.

It is not a de Polignac number, because 42010101112013 - 2¹⁶ = 42010101046477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42010101111982 and 42010101112000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42010101112043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185885403038 + ... + 185885403263.

It is an arithmetic number, because the mean of its divisors is an integer number (10595467979607).

Almost surely, 2^{42010101112013} is an apocalyptic number.

It is an amenable number.

42010101112013 is a deficient number, since it is larger than the sum of its proper divisors (371770806415).

42010101112013 is a wasteful number, since it uses less digits than its factorization.

42010101112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371770806414.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 42010101112013 its reverse (31021110101024), we get a palindrome (73031211213037).

The spelling of 42010101112013 in words is "forty-two trillion, ten billion, one hundred one million, one hundred twelve thousand, thirteen".