13114134101000 has 256 divisors, whose sum is σ = 32705202816000. Its totient is φ = 4904775475200.

The previous prime is 13114134100987. The next prime is 13114134101009. The reversal of 13114134101000 is 10143141131.

It is a super-2 number, since 2×13114134101000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13114134101009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6277707956 + ... + 6277710044.

It is an arithmetic number, because the mean of its divisors is an integer number (127754698500).

Almost surely, 2^{13114134101000} is an apocalyptic number.

13114134101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114134101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16352601408000).

13114134101000 is an abundant number, since it is smaller than the sum of its proper divisors (19591068715000).

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

13114134101000 is a wasteful number, since it uses less digits than its factorization.

13114134101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13114134101000 its reverse (10143141131), we get a palindrome (13124277242131).

The spelling of 13114134101000 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-four million, one hundred one thousand".