1013032100213 has 16 divisors (see below), whose sum is σ = 1166331229056. Its totient is φ = 861901656000.

The previous prime is 1013032100207. The next prime is 1013032100251. The reversal of 1013032100213 is 3120012303101.

It is not a de Polignac number, because 1013032100213 - 2¹⁴ = 1013032083829 is a prime.

It is a super-4 number, since 4×1013032100213⁴ (a number of 49 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1013032100191 and 1013032100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013032100293) 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, 469106 + ... + 1498707.

It is an arithmetic number, because the mean of its divisors is an integer number (72895701816).

Almost surely, 2^{1013032100213} is an apocalyptic number.

It is an amenable number.

1013032100213 is a deficient number, since it is larger than the sum of its proper divisors (153299128843).

1013032100213 is a wasteful number, since it uses less digits than its factorization.

1013032100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968364.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1013032100213 its reverse (3120012303101), we get a palindrome (4133044403314).

The spelling of 1013032100213 in words is "one trillion, thirteen billion, thirty-two million, one hundred thousand, two hundred thirteen".