130142210021340 has 384 divisors, whose sum is σ = 416449402306560. Its totient is φ = 30078639360000.

The previous prime is 130142210021339. The next prime is 130142210021353. The reversal of 130142210021340 is 43120012241031.

130142210021340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 130142210021340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1918929951 + ... + 1918997769.

It is an arithmetic number, because the mean of its divisors is an integer number (1084503651840).

Almost surely, 2^{130142210021340} is an apocalyptic number.

130142210021340 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 130142210021340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208224701153280).

130142210021340 is an abundant number, since it is smaller than the sum of its proper divisors (286307192285220).

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

130142210021340 is a wasteful number, since it uses less digits than its factorization.

130142210021340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69265 (or 69263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130142210021340 its reverse (43120012241031), we get a palindrome (173262222262371).

The spelling of 130142210021340 in words is "one hundred thirty trillion, one hundred forty-two billion, two hundred ten million, twenty-one thousand, three hundred forty".