130753756203007 has 48 divisors (see below), whose sum is σ = 155227258552320. Its totient is φ = 109785311520192.

The previous prime is 130753756202999. The next prime is 130753756203041. The reversal of 130753756203007 is 700302657357031.

It is not a de Polignac number, because 130753756203007 - 2³ = 130753756202999 is a prime.

It is a super-2 number, since 2×130753756203007² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130753756203407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203529693 + ... + 1203638329.

It is an arithmetic number, because the mean of its divisors is an integer number (3233901219840).

Almost surely, 2^{130753756203007} is an apocalyptic number.

130753756203007 is a deficient number, since it is larger than the sum of its proper divisors (24473502349313).

130753756203007 is a wasteful number, since it uses less digits than its factorization.

130753756203007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110180 (or 110173 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 49.

The spelling of 130753756203007 in words is "one hundred thirty trillion, seven hundred fifty-three billion, seven hundred fifty-six million, two hundred three thousand, seven".