13111301101032 has 192 divisors, whose sum is σ = 36306418948800. Its totient is φ = 4273312619520.

The previous prime is 13111301101027. The next prime is 13111301101037. The reversal of 13111301101032 is 23010110311131.

13111301101032 is a `hidden beast` number, since 1 + 311 + 1 + 301 + 10 + 10 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (13111301101027) and next prime (13111301101037).

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

It is a junction number, because it is equal to n+sod(n) for n = 13111301100996 and 13111301101014.

It is not an unprimeable number, because it can be changed into a prime (13111301101037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511009548 + ... + 511035204.

It is an arithmetic number, because the mean of its divisors is an integer number (189095932025).

Almost surely, 2^{13111301101032} is an apocalyptic number.

13111301101032 is a gapful number since it is divisible by the number (12) 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 13111301101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153209474400).

13111301101032 is an abundant number, since it is smaller than the sum of its proper divisors (23195117847768).

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

13111301101032 is a wasteful number, since it uses less digits than its factorization.

13111301101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26416 (or 26409 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13111301101032 its reverse (23010110311131), we get a palindrome (36121411412163).

The spelling of 13111301101032 in words is "thirteen trillion, one hundred eleven billion, three hundred one million, one hundred one thousand, thirty-two".