13042417700 has 72 divisors (see below), whose sum is σ = 30525337920. Its totient is φ = 4808361600.

The previous prime is 13042417579. The next prime is 13042417757. The reversal of 13042417700 is 771424031.

It is a super-2 number, since 2×13042417700² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891041 + ... + 905559.

Almost surely, 2^13042417700 is an apocalyptic number.

13042417700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13042417700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15262668960).

13042417700 is an abundant number, since it is smaller than the sum of its proper divisors (17482920220).

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

13042417700 is a wasteful number, since it uses less digits than its factorization.

13042417700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15237 (or 15230 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The spelling of 13042417700 in words is "thirteen billion, forty-two million, four hundred seventeen thousand, seven hundred".