1013135141352 has 64 divisors (see below), whose sum is σ = 2584269360000. Its totient is φ = 330872166144.

The previous prime is 1013135141321. The next prime is 1013135141357. The reversal of 1013135141352 is 2531415313101.

It is not an unprimeable number, because it can be changed into a prime (1013135141357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340149 + ... + 1463547.

It is an arithmetic number, because the mean of its divisors is an integer number (40379208750).

Almost surely, 2^{1013135141352} is an apocalyptic number.

1013135141352 is a gapful number since it is divisible by the number (12) 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 1013135141352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292134680000).

1013135141352 is an abundant number, since it is smaller than the sum of its proper divisors (1571134218648).

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

1013135141352 is a wasteful number, since it uses less digits than its factorization.

1013135141352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124170 (or 1124166 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1013135141352 in words is "one trillion, thirteen billion, one hundred thirty-five million, one hundred forty-one thousand, three hundred fifty-two".