13012154123040 has 288 divisors, whose sum is σ = 46105949962800. Its totient is φ = 3337798410240.

The previous prime is 13012154123027. The next prime is 13012154123077. The reversal of 13012154123040 is 4032145121031.

13012154123040 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 215 + 412 + 30 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 524100706704 + 12488053416336 = 723948^2 + 3533844^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 13012154122995 and 13012154123013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10654270 + ... + 11812610.

Almost surely, 2^{13012154123040} is an apocalyptic number.

13012154123040 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 13012154123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23052974981400).

13012154123040 is an abundant number, since it is smaller than the sum of its proper divisors (33093795839760).

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

13012154123040 is a wasteful number, since it uses less digits than its factorization.

13012154123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158660 (or 1158649 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13012154123040 its reverse (4032145121031), we get a palindrome (17044299244071).

The spelling of 13012154123040 in words is "thirteen trillion, twelve billion, one hundred fifty-four million, one hundred twenty-three thousand, forty".