13111220132010 has 640 divisors, whose sum is σ = 47680780460544. Its totient is φ = 2496461783040.

The previous prime is 13111220131903. The next prime is 13111220132027. The reversal of 13111220132010 is 1023102211131.

13111220132010 is a `hidden beast` number, since 1 + 3 + 111 + 220 + 1 + 320 + 10 = 666.

It is a super-4 number, since 4×13111220132010⁴ (a number of 54 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 111021954 + ... + 111139986.

Almost surely, 2^{13111220132010} is an apocalyptic number.

13111220132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111220132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23840390230272).

13111220132010 is an abundant number, since it is smaller than the sum of its proper divisors (34569560328534).

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

13111220132010 is a wasteful number, since it uses less digits than its factorization.

13111220132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118220 (or 118211 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13111220132010 its reverse (1023102211131), we get a palindrome (14134322343141).

The spelling of 13111220132010 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty million, one hundred thirty-two thousand, ten".