30201013133100 has 216 divisors, whose sum is σ = 103465119558528. Its totient is φ = 7335350323200.

The previous prime is 30201013133087. The next prime is 30201013133113. The reversal of 30201013133100 is 133131010203.

It is a happy number.

30201013133100 is a `hidden beast` number, since 3 + 0 + 201 + 0 + 131 + 331 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30201013133087) and next prime (30201013133113).

It is a super-2 number, since 2×30201013133100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31363159 + ... + 32311758.

Almost surely, 2^{30201013133100} is an apocalyptic number.

30201013133100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30201013133100 is an abundant number, since it is smaller than the sum of its proper divisors (73264106425428).

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

30201013133100 is a wasteful number, since it uses less digits than its factorization.

30201013133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63674985 (or 63674975 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 30201013133100 its reverse (133131010203), we get a palindrome (30334144143303).

The spelling of 30201013133100 in words is "thirty trillion, two hundred one billion, thirteen million, one hundred thirty-three thousand, one hundred".