1305330010101 has 48 divisors (see below), whose sum is σ = 2137569383040. Its totient is φ = 760935565440.

The previous prime is 1305330010067. The next prime is 1305330010121. The reversal of 1305330010101 is 1010100335031.

1305330010101 is a `hidden beast` number, since 1 + 30 + 533 + 0 + 0 + 1 + 0 + 101 = 666.

It is not a de Polignac number, because 1305330010101 - 2¹⁴ = 1305329993717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305330010121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38198515 + ... + 38232671.

It is an arithmetic number, because the mean of its divisors is an integer number (44532695480).

Almost surely, 2^{1305330010101} is an apocalyptic number.

It is an amenable number.

1305330010101 is a deficient number, since it is larger than the sum of its proper divisors (832239372939).

1305330010101 is a wasteful number, since it uses less digits than its factorization.

1305330010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51386 (or 51383 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 1305330010101 its reverse (1010100335031), we get a palindrome (2315430345132).

The spelling of 1305330010101 in words is "one trillion, three hundred five billion, three hundred thirty million, ten thousand, one hundred one".