1013135515014 has 64 divisors (see below), whose sum is σ = 2418627879936. Its totient is φ = 276629067264.

The previous prime is 1013135514967. The next prime is 1013135515019. The reversal of 1013135515014 is 4105155313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013135515019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581674 + ... + 1537730.

It is an arithmetic number, because the mean of its divisors is an integer number (37791060624).

Almost surely, 2^{1013135515014} is an apocalyptic number.

1013135515014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013135515014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209313939968).

1013135515014 is an abundant number, since it is smaller than the sum of its proper divisors (1405492364922).

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

1013135515014 is a wasteful number, since it uses less digits than its factorization.

1013135515014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957189.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1013135515014 in words is "one trillion, thirteen billion, one hundred thirty-five million, five hundred fifteen thousand, fourteen".