1014133013514 has 64 divisors (see below), whose sum is σ = 2358164275200. Its totient is φ = 322445928816.

The previous prime is 1014133013501. The next prime is 1014133013519. The reversal of 1014133013514 is 4153103314101.

1014133013514 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 3 + 301 + 351 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1014133013519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691354 + ... + 1583109.

It is an arithmetic number, because the mean of its divisors is an integer number (36846316800).

Almost surely, 2^{1014133013514} is an apocalyptic number.

1014133013514 is an abundant number, since it is smaller than the sum of its proper divisors (1344031261686).

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

1014133013514 is a wasteful number, since it uses less digits than its factorization.

1014133013514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274856 (or 2274850 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 1014133013514 its reverse (4153103314101), we get a palindrome (5167236327615).

The spelling of 1014133013514 in words is "one trillion, fourteen billion, one hundred thirty-three million, thirteen thousand, five hundred fourteen".