10200231022013 has 2 divisors, whose sum is σ = 10200231022014. Its totient is φ = 10200231022012.

The previous prime is 10200231021991. The next prime is 10200231022031. The reversal of 10200231022013 is 31022013200201.

Together with next prime (10200231022031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8009703740164 + 2190527281849 = 2830142^2 + 1480043^2 .

It is an emirp because it is prime and its reverse (31022013200201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10200231022013 - 2⁶ = 10200231021949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200231021982 and 10200231022000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200231022043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100115511006 + 5100115511007.

It is an arithmetic number, because the mean of its divisors is an integer number (5100115511007).

Almost surely, 2^{10200231022013} is an apocalyptic number.

It is an amenable number.

10200231022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200231022013 is an equidigital number, since it uses as much as digits as its factorization.

10200231022013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10200231022013 its reverse (31022013200201), we get a palindrome (41222244222214).

The spelling of 10200231022013 in words is "ten trillion, two hundred billion, two hundred thirty-one million, twenty-two thousand, thirteen".