1013252131221 has 16 divisors (see below), whose sum is σ = 1473838244928. Its totient is φ = 614085132800.

The previous prime is 1013252131207. The next prime is 1013252131259. The reversal of 1013252131221 is 1221312523101.

1013252131221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1013252131221 - 2¹⁹ = 1013251606933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013252131191 and 1013252131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013252131291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4980325 + ... + 5179781.

It is an arithmetic number, because the mean of its divisors is an integer number (92114890308).

Almost surely, 2^{1013252131221} is an apocalyptic number.

1013252131221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013252131221 is a deficient number, since it is larger than the sum of its proper divisors (460586113707).

1013252131221 is a wasteful number, since it uses less digits than its factorization.

1013252131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353412.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 1013252131221 its reverse (1221312523101), we get a palindrome (2234564654322).

The spelling of 1013252131221 in words is "one trillion, thirteen billion, two hundred fifty-two million, one hundred thirty-one thousand, two hundred twenty-one".