301020130001040 has 40 divisors (see below), whose sum is σ = 933162403003968. Its totient is φ = 80272034666880.

The previous prime is 301020130000901. The next prime is 301020130001047. The reversal of 301020130001040 is 40100031020103.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×301020130001040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (301020130001047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627125270596 + ... + 627125271075.

Almost surely, 2^{301020130001040} is an apocalyptic number.

301020130001040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301020130001040 is an abundant number, since it is smaller than the sum of its proper divisors (632142273002928).

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

301020130001040 is a wasteful number, since it uses less digits than its factorization.

301020130001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254250541687 (or 1254250541681 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 301020130001040 its reverse (40100031020103), we get a palindrome (341120161021143).

The spelling of 301020130001040 in words is "three hundred one trillion, twenty billion, one hundred thirty million, one thousand, forty".