1020211302132 has 144 divisors (see below), whose sum is σ = 2898088275264. Its totient is φ = 299889216000.

The previous prime is 1020211302127. The next prime is 1020211302137. The reversal of 1020211302132 is 2312031120201.

1020211302132 is a `hidden beast` number, since 1 + 0 + 20 + 211 + 302 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (1020211302127) and next prime (1020211302137).

It is a super-3 number, since 3×1020211302132³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020211302137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4744632 + ... + 4954992.

Almost surely, 2^{1020211302132} is an apocalyptic number.

1020211302132 is a gapful number since it is divisible by the number (12) 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 1020211302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449044137632).

1020211302132 is an abundant number, since it is smaller than the sum of its proper divisors (1877876973132).

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

1020211302132 is a wasteful number, since it uses less digits than its factorization.

1020211302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210750 (or 210745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1020211302132 its reverse (2312031120201), we get a palindrome (3332242422333).

The spelling of 1020211302132 in words is "one trillion, twenty billion, two hundred eleven million, three hundred two thousand, one hundred thirty-two".