10014315135000 has 480 divisors, whose sum is σ = 34728441778800. Its totient is φ = 2403632000000.

The previous prime is 10014315134981. The next prime is 10014315135017. The reversal of 10014315135000 is 53151341001.

It is a super-4 number, since 4×10014315135000⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 183287686 + ... + 183342314.

Almost surely, 2^{10014315135000} is an apocalyptic number.

10014315135000 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 10014315135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364220889400).

10014315135000 is an abundant number, since it is smaller than the sum of its proper divisors (24714126643800).

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

10014315135000 is a wasteful number, since it uses less digits than its factorization.

10014315135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54781 (or 54751 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10014315135000 its reverse (53151341001), we get a palindrome (10067466476001).

The spelling of 10014315135000 in words is "ten trillion, fourteen billion, three hundred fifteen million, one hundred thirty-five thousand".