10001313504 has 288 divisors, whose sum is σ = 35161910784. Its totient is φ = 2625868800.

The previous prime is 10001313479. The next prime is 10001313577. The reversal of 10001313504 is 40531310001.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 6891979 + ... + 6893429.

It is an arithmetic number, because the mean of its divisors is an integer number (122089968).

Almost surely, 2^10001313504 is an apocalyptic number.

10001313504 is a gapful number since it is divisible by the number (14) 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 10001313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580955392).

10001313504 is an abundant number, since it is smaller than the sum of its proper divisors (25160597280).

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

10001313504 is a wasteful number, since it uses less digits than its factorization.

10001313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10001313504 its reverse (40531310001), we get a palindrome (50532623505).

The spelling of 10001313504 in words is "ten billion, one million, three hundred thirteen thousand, five hundred four".