1010013100213 has 12 divisors (see below), whose sum is σ = 1093714303968. Its totient is φ = 932292950160.

The previous prime is 1010013100193. The next prime is 1010013100247. The reversal of 1010013100213 is 3120013100101.

It is not a de Polignac number, because 1010013100213 - 2⁵ = 1010013100181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1010013100193 and 1010013100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010013500213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8102706 + ... + 8226412.

It is an arithmetic number, because the mean of its divisors is an integer number (91142858664).

Almost surely, 2^{1010013100213} is an apocalyptic number.

1010013100213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010013100213 is a deficient number, since it is larger than the sum of its proper divisors (83701203755).

1010013100213 is a wasteful number, since it uses less digits than its factorization.

1010013100213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172044 (or 172031 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1010013100213 its reverse (3120013100101), we get a palindrome (4130026200314).

The spelling of 1010013100213 in words is "one trillion, ten billion, thirteen million, one hundred thousand, two hundred thirteen".