10523005114213 has 8 divisors (see below), whose sum is σ = 10530708472440. Its totient is φ = 10515303664320.

The previous prime is 10523005114157. The next prime is 10523005114231. The reversal of 10523005114213 is 31241150032501.

It can be written as a sum of positive squares in 4 ways, for example, as 3137209661089 + 7385795453124 = 1771217^2 + 2717682^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10523005114213 - 2²⁵ = 10522971559781 is a prime.

It is a super-2 number, since 2×10523005114213² (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 (10523005114253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10650231 + ... + 11596267.

It is an arithmetic number, because the mean of its divisors is an integer number (1316338559055).

Almost surely, 2^{10523005114213} is an apocalyptic number.

It is an amenable number.

10523005114213 is a deficient number, since it is larger than the sum of its proper divisors (7703358227).

10523005114213 is an equidigital number, since it uses as much as digits as its factorization.

10523005114213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954167.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 10523005114213 its reverse (31241150032501), we get a palindrome (41764155146714).

The spelling of 10523005114213 in words is "ten trillion, five hundred twenty-three billion, five million, one hundred fourteen thousand, two hundred thirteen".