42204102233013 has 120 divisors (see below), whose sum is σ = 75317689814400. Its totient is φ = 23471628308352.

The previous prime is 42204102232993. The next prime is 42204102233087. The reversal of 42204102233013 is 31033220140224.

42204102233013 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 410 + 2 + 233 + 0 + 13 = 666.

It is not a de Polignac number, because 42204102233013 - 2¹² = 42204102228917 is a prime.

It is a super-2 number, since 2×42204102233013² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42204102033013) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32759233 + ... + 34023161.

It is an arithmetic number, because the mean of its divisors is an integer number (627647415120).

Almost surely, 2^{42204102233013} is an apocalyptic number.

It is an amenable number.

42204102233013 is a deficient number, since it is larger than the sum of its proper divisors (33113587581387).

42204102233013 is a wasteful number, since it uses less digits than its factorization.

42204102233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264181 (or 1264165 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42204102233013 its reverse (31033220140224), we get a palindrome (73237322373237).

The spelling of 42204102233013 in words is "forty-two trillion, two hundred four billion, one hundred two million, two hundred thirty-three thousand, thirteen".