13101111202114 has 32 divisors (see below), whose sum is σ = 21200523750000. Its totient is φ = 6036050202624.

The previous prime is 13101111202103. The next prime is 13101111202139. The reversal of 13101111202114 is 41120211110131.

It can be written as a sum of positive squares in 8 ways, for example, as 1962758970225 + 11138352231889 = 1400985^2 + 3337417^2 .

It is a super-2 number, since 2×13101111202114² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101111202091 and 13101111202100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33872932 + ... + 34257520.

Almost surely, 2^{13101111202114} is an apocalyptic number.

13101111202114 is a deficient number, since it is larger than the sum of its proper divisors (8099412547886).

13101111202114 is a wasteful number, since it uses less digits than its factorization.

13101111202114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386902.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 13101111202114 its reverse (41120211110131), we get a palindrome (54221322312245).

It can be divided in two parts, 1310111 and 1202114, that added together give a square (2512225 = 1585²).

The spelling of 13101111202114 in words is "thirteen trillion, one hundred one billion, one hundred eleven million, two hundred two thousand, one hundred fourteen".