13060121465340 has 192 divisors, whose sum is σ = 42134786104320. Its totient is φ = 3355672769280.

The previous prime is 13060121465309. The next prime is 13060121465341. The reversal of 13060121465340 is 4356412106031.

13060121465340 is a `hidden beast` number, since 1 + 3 + 0 + 60 + 1 + 21 + 46 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13060121465295 and 13060121465304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13060121465341) 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, 1115166 + ... + 5231045.

It is an arithmetic number, because the mean of its divisors is an integer number (219452010960).

Almost surely, 2^{13060121465340} is an apocalyptic number.

13060121465340 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 13060121465340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067393052160).

13060121465340 is an abundant number, since it is smaller than the sum of its proper divisors (29074664638980).

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

13060121465340 is a wasteful number, since it uses less digits than its factorization.

13060121465340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346369 (or 6346361 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13060121465340 in words is "thirteen trillion, sixty billion, one hundred twenty-one million, four hundred sixty-five thousand, three hundred forty".