10001031002213 has 16 divisors (see below), whose sum is σ = 10163916322560. Its totient is φ = 9839429099136.

The previous prime is 10001031002201. The next prime is 10001031002243. The reversal of 10001031002213 is 31220013010001.

It is a cyclic number.

It is not a de Polignac number, because 10001031002213 - 2¹⁰ = 10001031001189 is a prime.

It is a super-2 number, since 2×10001031002213² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001031002243) 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, 122195681 + ... + 122277497.

It is an arithmetic number, because the mean of its divisors is an integer number (635244770160).

Almost surely, 2^{10001031002213} is an apocalyptic number.

It is an amenable number.

10001031002213 is a deficient number, since it is larger than the sum of its proper divisors (162885320347).

10001031002213 is a wasteful number, since it uses less digits than its factorization.

10001031002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89636.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10001031002213 its reverse (31220013010001), we get a palindrome (41221044012214).

The spelling of 10001031002213 in words is "ten trillion, one billion, thirty-one million, two thousand, two hundred thirteen".