10113525412321 has 2 divisors, whose sum is σ = 10113525412322. Its totient is φ = 10113525412320.

The previous prime is 10113525412259. The next prime is 10113525412351. The reversal of 10113525412321 is 12321452531101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9627491952400 + 486033459921 = 3102820^2 + 697161^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113525412321 - 2¹⁵ = 10113525379553 is a prime.

It is a super-3 number, since 3×10113525412321³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10113525412351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056762706160 + 5056762706161.

It is an arithmetic number, because the mean of its divisors is an integer number (5056762706161).

Almost surely, 2^{10113525412321} is an apocalyptic number.

It is an amenable number.

10113525412321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113525412321 is an equidigital number, since it uses as much as digits as its factorization.

10113525412321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 10113525412321 its reverse (12321452531101), we get a palindrome (22434977943422).

The spelling of 10113525412321 in words is "ten trillion, one hundred thirteen billion, five hundred twenty-five million, four hundred twelve thousand, three hundred twenty-one".