10413117000 has 1280 divisors, whose sum is σ = 45664819200. Its totient is φ = 2177280000.

The previous prime is 10413116963. The next prime is 10413117053. The reversal of 10413117000 is 71131401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 335906985 + ... + 335907015.

It is an arithmetic number, because the mean of its divisors is an integer number (35675640).

Almost surely, 2^10413117000 is an apocalyptic number.

10413117000 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 10413117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22832409600).

10413117000 is an abundant number, since it is smaller than the sum of its proper divisors (35251702200).

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

10413117000 is a wasteful number, since it uses less digits than its factorization.

10413117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 10413117000 its reverse (71131401), we get a palindrome (10484248401).

The spelling of 10413117000 in words is "ten billion, four hundred thirteen million, one hundred seventeen thousand".