201313020321040 has 80 divisors (see below), whose sum is σ = 492695775184320. Its totient is φ = 76285700467200.

The previous prime is 201313020321029. The next prime is 201313020321071. The reversal of 201313020321040 is 40123020313102.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87712582 + ... + 89978458.

It is an arithmetic number, because the mean of its divisors is an integer number (6158697189804).

Almost surely, 2^{201313020321040} is an apocalyptic number.

201313020321040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201313020321040 is an abundant number, since it is smaller than the sum of its proper divisors (291382754863280).

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

201313020321040 is a wasteful number, since it uses less digits than its factorization.

201313020321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324360 (or 2324354 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 201313020321040 its reverse (40123020313102), we get a palindrome (241436040634142).

The spelling of 201313020321040 in words is "two hundred one trillion, three hundred thirteen billion, twenty million, three hundred twenty-one thousand, forty".