240001330013 has 8 divisors (see below), whose sum is σ = 243955917816. Its totient is φ = 236047392000.

The previous prime is 240001329937. The next prime is 240001330061. The reversal of 240001330013 is 310033100042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56145049 + 239945184964 = 7493^2 + 489842^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 240001330013 - 2²² = 239997135709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 240001329973 and 240001330000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240001330313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612545 + ... + 924777.

It is an arithmetic number, because the mean of its divisors is an integer number (30494489727).

Almost surely, 2^240001330013 is an apocalyptic number.

It is an amenable number.

240001330013 is a deficient number, since it is larger than the sum of its proper divisors (3954587803).

240001330013 is a wasteful number, since it uses less digits than its factorization.

240001330013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324895.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 240001330013 its reverse (310033100042), we get a palindrome (550034430055).

The spelling of 240001330013 in words is "two hundred forty billion, one million, three hundred thirty thousand, thirteen".