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1020213301131 = 32373119851137
BaseRepresentation
bin11101101100010010111…
…00111000111110001011
310121112100102022111212200
432312021130320332023
5113203344101114011
62100402435411243
7133464556656063
oct16661134707613
93545312274780
101020213301131
113637408a2242
12145883453b23
1375289c06a5b
1437542bb43a3
151b8110b7856
hexed89738f8b

1020213301131 has 24 divisors (see below), whose sum is σ = 1518336197664. Its totient is φ = 659632066560.

The previous prime is 1020213301117. The next prime is 1020213301139. The reversal of 1020213301131 is 1311033120201.

1020213301131 is a `hidden beast` number, since 1 + 0 + 20 + 213 + 301 + 131 = 666.

It is not a de Polignac number, because 1020213301131 - 25 = 1020213301099 is a prime.

It is a super-2 number, since 2×10202133011312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020213301139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4822006 + ... + 5029131.

It is an arithmetic number, because the mean of its divisors is an integer number (63264008236).

Almost surely, 21020213301131 is an apocalyptic number.

1020213301131 is a deficient number, since it is larger than the sum of its proper divisors (498122896533).

1020213301131 is a wasteful number, since it uses less digits than its factorization.

1020213301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851491 (or 9851488 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1020213301131 its reverse (1311033120201), we get a palindrome (2331246421332).

The spelling of 1020213301131 in words is "one trillion, twenty billion, two hundred thirteen million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 37 111 311 333 933 2799 11507 34521 103563 9851137 29553411 88660233 364492069 1093476207 3063703607 3280428621 9191110821 27573332463 113357033459 340071100377 1020213301131