2013301967040 has 1344 divisors, whose sum is σ = 9144356981760. Its totient is φ = 410095042560.

The previous prime is 2013301966993. The next prime is 2013301967063. The reversal of 2013301967040 is 407691033102.

2013301967040 is a `hidden beast` number, since 201 + 330 + 19 + 6 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2013301966986 and 2013301967004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 205203735 + ... + 205213545.

It is an arithmetic number, because the mean of its divisors is an integer number (6803837040).

Almost surely, 2^{2013301967040} is an apocalyptic number.

2013301967040 is a gapful number since it is divisible by the number (20) 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 2013301967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572178490880).

2013301967040 is an abundant number, since it is smaller than the sum of its proper divisors (7131055014720).

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

2013301967040 is a wasteful number, since it uses less digits than its factorization.

2013301967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 2013301967040 in words is "two trillion, thirteen billion, three hundred one million, nine hundred sixty-seven thousand, forty".