1301307540000 has 480 divisors, whose sum is σ = 4674977778240. Its totient is φ = 314881536000.

The previous prime is 1301307539993. The next prime is 1301307540007. The reversal of 1301307540000 is 457031031.

It is an interprime number because it is at equal distance from previous prime (1301307539993) and next prime (1301307540007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1301307540007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46005862 + ... + 46034138.

It is an arithmetic number, because the mean of its divisors is an integer number (9739537038).

Almost surely, 2^{1301307540000} is an apocalyptic number.

1301307540000 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 1301307540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337488889120).

1301307540000 is an abundant number, since it is smaller than the sum of its proper divisors (3373670238240).

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

1301307540000 is a wasteful number, since it uses less digits than its factorization.

1301307540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28382 (or 28359 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The spelling of 1301307540000 in words is "one trillion, three hundred one billion, three hundred seven million, five hundred forty thousand".