10135014000 has 320 divisors, whose sum is σ = 33779885568. Its totient is φ = 2612736000.

The previous prime is 10135013869. The next prime is 10135014007. The reversal of 10135014000 is 41053101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135014007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42053880 + ... + 42054120.

Almost surely, 2^10135014000 is an apocalyptic number.

10135014000 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 10135014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16889942784).

10135014000 is an abundant number, since it is smaller than the sum of its proper divisors (23644871568).

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

10135014000 is a wasteful number, since it uses less digits than its factorization.

10135014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10135014000 its reverse (41053101), we get a palindrome (10176067101).

The spelling of 10135014000 in words is "ten billion, one hundred thirty-five million, fourteen thousand".