1013035061346 has 192 divisors, whose sum is σ = 2659431564288. Its totient is φ = 249827760000.

The previous prime is 1013035061329. The next prime is 1013035061407. The reversal of 1013035061346 is 6431605303101.

1013035061346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23509521 + ... + 23552571.

It is an arithmetic number, because the mean of its divisors is an integer number (13851206064).

Almost surely, 2^{1013035061346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013035061346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329715782144).

1013035061346 is an abundant number, since it is smaller than the sum of its proper divisors (1646396502942).

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

1013035061346 is a wasteful number, since it uses less digits than its factorization.

1013035061346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43189 (or 43158 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 1013035061346 in words is "one trillion, thirteen billion, thirty-five million, sixty-one thousand, three hundred forty-six".