1322010040013 has 16 divisors (see below), whose sum is σ = 1432456155312. Its totient is φ = 1212822720000.

The previous prime is 1322010039943. The next prime is 1322010040051. The reversal of 1322010040013 is 3100400102231.

It can be written as a sum of positive squares in 8 ways, for example, as 39367718569 + 1282642321444 = 198413^2 + 1132538^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322010040013 - 2³⁰ = 1320936298189 is a prime.

It is a super-2 number, since 2×1322010040013² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322010039973 and 1322010040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322010040063) by changing a digit.

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, 3640913 + ... + 3987513.

It is an arithmetic number, because the mean of its divisors is an integer number (89528509707).

Almost surely, 2^{1322010040013} is an apocalyptic number.

1322010040013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1322010040013 is a deficient number, since it is larger than the sum of its proper divisors (110446115299).

1322010040013 is a wasteful number, since it uses less digits than its factorization.

1322010040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348416.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1322010040013 its reverse (3100400102231), we get a palindrome (4422410142244).

The spelling of 1322010040013 in words is "one trillion, three hundred twenty-two billion, ten million, forty thousand, thirteen".