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1331043221131 = 132331181793379
BaseRepresentation
bin10011010111101000010…
…110111011111010001011
311201020122200122110221221
4103113220112323322023
5133301434031034011
62455250043342511
7165110330463301
oct23275026737213
94636580573857
101331043221131
1147354621a748
12195b6b821a37
1398694650440
14485cc392271
152495441b971
hex135e85bbe8b

1331043221131 has 32 divisors (see below), whose sum is σ = 1552536760320. Its totient is φ = 1131039676800.

The previous prime is 1331043221117. The next prime is 1331043221147. The reversal of 1331043221131 is 1311223401331.

It is a cyclic number.

It is not a de Polignac number, because 1331043221131 - 235 = 1296683482763 is a prime.

It is a super-2 number, since 2×13310432211312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331043221096 and 1331043221105.

It is not an unprimeable number, because it can be changed into a prime (1331043221531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1281000 + ... + 2074378.

It is an arithmetic number, because the mean of its divisors is an integer number (48516773760).

Almost surely, 21331043221131 is an apocalyptic number.

1331043221131 is a deficient number, since it is larger than the sum of its proper divisors (221493539189).

1331043221131 is a wasteful number, since it uses less digits than its factorization.

1331043221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793627.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1331043221131 its reverse (1311223401331), we get a palindrome (2642266622462).

The spelling of 1331043221131 in words is "one trillion, three hundred thirty-one billion, forty-three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 13 23 31 181 299 403 713 2353 4163 5611 9269 54119 72943 129053 793379 1677689 10313927 18247717 24594749 143601599 237220321 319731737 565679227 1866820787 3302836777 4451649569 7353829951 42936878101 57871444397 102387940087 1331043221131