42003212013 has 40 divisors (see below), whose sum is σ = 74022417920. Its totient is φ = 23227572960.

The previous prime is 42003211997. The next prime is 42003212059. The reversal of 42003212013 is 31021230024.

It is not a de Polignac number, because 42003212013 - 2⁴ = 42003211997 is a prime.

It is a super-3 number, since 3×42003212013³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42003213013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1177258 + ... + 1212411.

It is an arithmetic number, because the mean of its divisors is an integer number (1850560448).

Almost surely, 2^42003212013 is an apocalyptic number.

It is an amenable number.

42003212013 is a deficient number, since it is larger than the sum of its proper divisors (32019205907).

42003212013 is a wasteful number, since it uses less digits than its factorization.

42003212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389719 (or 2389710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42003212013 its reverse (31021230024), we get a palindrome (73024442037).

It can be divided in two parts, 42003 and 212013, that added together give a square (254016 = 504²).

The spelling of 42003212013 in words is "forty-two billion, three million, two hundred twelve thousand, thirteen".