211300133001320 has 96 divisors (see below), whose sum is σ = 535320645861960. Its totient is φ = 74962353100800.

The previous prime is 211300133001277. The next prime is 211300133001359. The reversal of 211300133001320 is 23100331003112.

It can be written as a sum of positive squares in 4 ways, for example, as 129446459522116 + 81853673479204 = 11377454^2 + 9047302^2 .

It is a super-2 number, since 2×211300133001320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211300133001292 and 211300133001301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532204637 + ... + 532601516.

Almost surely, 2^{211300133001320} is an apocalyptic number.

211300133001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211300133001320 is an abundant number, since it is smaller than the sum of its proper divisors (324020512860640).

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

211300133001320 is a wasteful number, since it uses less digits than its factorization.

211300133001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064806227 (or 1064806212 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 211300133001320 its reverse (23100331003112), we get a palindrome (234400464004432).

The spelling of 211300133001320 in words is "two hundred eleven trillion, three hundred billion, one hundred thirty-three million, one thousand, three hundred twenty".