13100114034 has 144 divisors (see below), whose sum is σ = 35118064800. Its totient is φ = 3508904448.

The previous prime is 13100114033. The next prime is 13100114047. The reversal of 13100114034 is 43041100131.

It is a super-2 number, since 2×13100114034² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13100113998 and 13100114016.

It is not an unprimeable number, because it can be changed into a prime (13100114033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1621497 + ... + 1629555.

It is an arithmetic number, because the mean of its divisors is an integer number (243875450).

Almost surely, 2^13100114034 is an apocalyptic number.

13100114034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100114034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17559032400).

13100114034 is an abundant number, since it is smaller than the sum of its proper divisors (22017950766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13100114034 is a wasteful number, since it uses less digits than its factorization.

13100114034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13100114034 its reverse (43041100131), we get a palindrome (56141214165).

The spelling of 13100114034 in words is "thirteen billion, one hundred million, one hundred fourteen thousand, thirty-four".