10012000010213 has 16 divisors (see below), whose sum is σ = 10058537998080. Its totient is φ = 9965543265216.

The previous prime is 10012000010203. The next prime is 10012000010231. The reversal of 10012000010213 is 31201000021001.

It is a cyclic number.

It is not a de Polignac number, because 10012000010213 - 2⁴ = 10012000010197 is a prime.

It is a super-2 number, since 2×10012000010213² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10012000010194 and 10012000010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012000010203) 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, 1380390695 + ... + 1380397947.

It is an arithmetic number, because the mean of its divisors is an integer number (628658624880).

Almost surely, 2^{10012000010213} is an apocalyptic number.

It is an amenable number.

10012000010213 is a deficient number, since it is larger than the sum of its proper divisors (46537987867).

10012000010213 is a wasteful number, since it uses less digits than its factorization.

10012000010213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11996.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10012000010213 its reverse (31201000021001), we get a palindrome (41213000031214).

The spelling of 10012000010213 in words is "ten trillion, twelve billion, ten thousand, two hundred thirteen".